Search a number
-
+
100211004381492 = 22337921117113309
BaseRepresentation
bin10110110010010000110001…
…010100011001100100110100
3111010211002010012021201022000
4112302100301110121210310
5101113324114110201432
6553044144434535300
730052002051611154
oct2662206124314464
9433732105251260
10100211004381492
1129a26280529034
12b2a5692737530
1343bbb1b264b54
141aa634a5c4764
15b8bab8d9b57c
hex5b2431519934

100211004381492 has 144 divisors (see below), whose sum is σ = 263179952481600. Its totient is φ = 32975406659520.

The previous prime is 100211004381487. The next prime is 100211004381497. The reversal of 100211004381492 is 294183400112001.

100211004381492 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 100 + 43 + 8 + 1 + 492 = 666.

It is an interprime number because it is at equal distance from previous prime (100211004381487) and next prime (100211004381497).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211004381497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7529560134 + ... + 7529573442.

It is an arithmetic number, because the mean of its divisors is an integer number (1827638558900).

Almost surely, 2100211004381492 is an apocalyptic number.

100211004381492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211004381492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131589976240800).

100211004381492 is an abundant number, since it is smaller than the sum of its proper divisors (162968948100108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100211004381492 is a wasteful number, since it uses less digits than its factorization.

100211004381492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24651 (or 24564 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 100211004381492 its reverse (294183400112001), we get a palindrome (394394404493493).

The spelling of 100211004381492 in words is "one hundred trillion, two hundred eleven billion, four million, three hundred eighty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 6241 8532 11171 12482 13309 18723 22342 24964 26618 33513 37446 39927 44684 53236 56169 67026 74892 79854 100539 112338 119781 134052 159708 168507 201078 224676 239562 301617 337014 359343 402156 479124 603234 674028 718686 882509 1051411 1206468 1437372 1765018 2102822 2647527 3154233 3530036 4205644 5295054 6308466 7942581 9462699 10590108 12616932 15885162 18925398 23827743 28388097 31770324 37850796 47655486 56776194 69718211 83061469 95310972 113552388 139436422 148674839 166122938 209154633 249184407 278872844 297349678 332245876 418309266 446024517 498368814 594699356 627463899 747553221 836618532 892049034 996737628 1254927798 1338073551 1495106442 1784098068 1882391697 2242659663 2509855596 2676147102 2990212884 3764783394 4014220653 4485319326 5352294204 7529566788 8028441306 8970638652 11745312281 16056882612 23490624562 35235936843 46981249124 70471873686 105707810529 140943747372 211415621058 317123431587 422831242116 634246863174 927879670199 1268493726348 1855759340398 2783639010597 3711518680796 5567278021194 8350917031791 11134556042388 16701834063582 25052751095373 33403668127164 50105502190746 100211004381492