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10114032422124 = 22341931579102433
BaseRepresentation
bin1001001100101101101101…
…0011110100110011101100
31022210220002022100111110000
42103023123103310303230
52311202014300001444
633302153343344300
72062500103055421
oct223133323646354
938726068314400
1010114032422124
11324a3786a25a4
121174200bb2090
13584997bb9407
1426d743aa5d48
15128151067469
hex932db4f4cec

10114032422124 has 120 divisors (see below), whose sum is σ = 26594165018960. Its totient is φ = 3351719264256.

The previous prime is 10114032422083. The next prime is 10114032422189. The reversal of 10114032422124 is 42122423041101.

10114032422124 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 403 + 2 + 42 + 212 + 4 = 666.

It is a super-2 number, since 2×101140324221242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98686812 + ... + 98789244.

Almost surely, 210114032422124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114032422124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297082509480).

10114032422124 is an abundant number, since it is smaller than the sum of its proper divisors (16480132596836).

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

10114032422124 is a wasteful number, since it uses less digits than its factorization.

10114032422124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104221 (or 104210 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10114032422124 its reverse (42122423041101), we get a palindrome (52236455463225).

The spelling of 10114032422124 in words is "ten trillion, one hundred fourteen billion, thirty-two million, four hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 386 579 772 1158 1579 1737 2316 3158 3474 4737 5211 6316 6948 9474 10422 14211 15633 18948 20844 28422 31266 42633 56844 62532 85266 102433 127899 170532 204866 255798 304747 307299 409732 511596 609494 614598 914241 921897 1218988 1229196 1828482 1843794 2742723 2765691 3656964 3687588 5485446 5531382 8228169 8297073 10970892 11062764 16456338 16594146 19769569 24684507 32912676 33188292 39539138 49369014 59308707 79078276 98738028 118617414 161741707 177926121 237234828 323483414 355852242 485225121 533778363 646966828 711704484 970450242 1067556726 1455675363 1601335089 1940900484 2135113452 2911350726 3202670178 4367026089 5822701452 6405340356 8734052178 13101078267 17468104356 26202156534 31216149451 52404313068 62432298902 93648448353 124864597804 187296896706 280945345059 374593793412 561890690118 842836035177 1123781380236 1685672070354 2528508105531 3371344140708 5057016211062 10114032422124