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102222010332312 = 233134492389305441
BaseRepresentation
bin10111001111100001101010…
…100111010011010010011000
3111101221022212122202210111020
4113033201222213103102120
5101344301134121113222
61001224050535402440
730350203465265343
oct2717415247232230
9441838778683436
10102222010332312
112a631124a01642
12b56b388523420
134506656a28350
141b35800a5345a
15bc40681e165c
hex5cf86a9d3498

102222010332312 has 128 divisors (see below), whose sum is σ = 275942411640000. Its totient is φ = 31369636085760.

The previous prime is 102222010332269. The next prime is 102222010332313. The reversal of 102222010332312 is 213233010222201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222010332313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334517512 + ... + 334822952.

Almost surely, 2102222010332312 is an apocalyptic number.

102222010332312 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 102222010332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137971205820000).

102222010332312 is an abundant number, since it is smaller than the sum of its proper divisors (173720401307688).

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

102222010332312 is a wasteful number, since it uses less digits than its factorization.

102222010332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308301 (or 308297 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102222010332312 its reverse (213233010222201), we get a palindrome (315455020554513).

The spelling of 102222010332312 in words is "one hundred two trillion, two hundred twenty-two billion, ten million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 449 898 1347 1796 2389 2694 3592 4778 5388 5837 7167 9556 10776 11674 14334 17511 19112 23348 28668 31057 35022 46696 57336 62114 70044 93171 124228 140088 186342 248456 305441 372684 610882 745368 916323 1072661 1221764 1832646 2145322 2443528 3217983 3665292 3970733 4290644 6435966 7330584 7941466 8581288 11912199 12871932 13944593 15882932 23824398 25743864 27889186 31765864 41833779 47648796 55778372 83667558 95297592 111556744 137143009 167335116 274286018 334670232 411429027 548572036 729698549 822858054 1097144072 1459397098 1645716108 1782859117 2189095647 2918794196 3291432216 3565718234 4378191294 5348577351 5837588392 7131436468 8756382588 9486081137 10697154702 14262872936 17512765176 18972162274 21394309404 28458243411 37944324548 42788618808 56916486822 75888649096 113832973644 227665947288 327634648501 655269297002 982903945503 1310538594004 1965807891006 2621077188008 3931615782012 4259250430513 7863231564024 8518500861026 12777751291539 17037001722052 25555502583078 34074003444104 51111005166156 102222010332312