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102330210111012 = 2232132375112658733
BaseRepresentation
bin10111010001000110011011…
…110100101100111000100100
3111102022200011021202001111100
4113101012123310230320210
5101403034232242023022
61001345503300240100
730361054000240242
oct2721063364547044
9442280137661440
10102330210111012
112a672aa8956854
12b5883443a0030
13451390b288540
141b3ab46b03792
15bc6c9c23a1ac
hex5d119bd2ce24

102330210111012 has 144 divisors (see below), whose sum is σ = 291064194989568. Its totient is φ = 30077147232000.

The previous prime is 102330210111011. The next prime is 102330210111037. The reversal of 102330210111012 is 210111012033201.

102330210111012 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 210 + 1 + 110 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102330210111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754398 + ... + 14413130.

It is an arithmetic number, because the mean of its divisors is an integer number (2021279131872).

Almost surely, 2102330210111012 is an apocalyptic number.

102330210111012 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 102330210111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145532097494784).

102330210111012 is an abundant number, since it is smaller than the sum of its proper divisors (188733984878556).

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

102330210111012 is a wasteful number, since it uses less digits than its factorization.

102330210111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12659530 (or 12659525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102330210111012 its reverse (210111012033201), we get a palindrome (312441222144213).

The spelling of 102330210111012 in words is "one hundred two trillion, three hundred thirty billion, two hundred ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 751 828 897 1196 1502 1794 2253 2691 3004 3588 4506 5382 6759 9012 9763 10764 13518 17273 19526 27036 29289 34546 39052 51819 58578 69092 87867 103638 117156 155457 175734 207276 224549 310914 351468 449098 621828 673647 898196 1347294 2020941 2694588 4041882 8083764 12658733 25317466 37976199 50634932 75952398 113928597 151904796 164563529 227857194 291150859 329127058 455714388 493690587 582301718 658254116 873452577 987381174 1164603436 1481071761 1746905154 1974762348 2620357731 2962143522 3493810308 3784961167 5240715462 5924287044 7569922334 9506708483 10481430924 11354883501 15139844668 19013416966 22709767002 28520125449 34064650503 38026833932 45419534004 57040250898 68129301006 85560376347 114080501796 123587210279 136258602012 171120752694 218654295109 247174420558 342241505388 370761630837 437308590218 494348841116 655962885327 741523261674 874617180436 1112284892511 1311925770654 1483046523348 1967888655981 2224569785022 2623851541308 2842505836417 3935777311962 4449139570044 5685011672834 7871554623924 8527517509251 11370023345668 17055035018502 25582552527753 34110070037004 51165105055506 102330210111012