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102013312111332 = 22376919679114199
BaseRepresentation
bin10111001100011111010011…
…001110110001001011100100
3111101012101012010020200222020
4113030133103032301023210
5101332341230400030312
61000544134004303140
730326134654546446
oct2714372316611344
9441171163220866
10102013312111332
112a56066a229266
12b536a439a1ab0
1344bca7762a66b
141b29683674496
15bbd90130178c
hex5cc7d33b12e4

102013312111332 has 48 divisors (see below), whose sum is σ = 238088691456000. Its totient is φ = 33996205585440.

The previous prime is 102013312111279. The next prime is 102013312111369. The reversal of 102013312111332 is 233111213310201.

It is a super-2 number, since 2×1020133121113322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893237169 + ... + 893351367.

It is an arithmetic number, because the mean of its divisors is an integer number (4960181072000).

Almost surely, 2102013312111332 is an apocalyptic number.

102013312111332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102013312111332 is an abundant number, since it is smaller than the sum of its proper divisors (136075379344668).

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

102013312111332 is a wasteful number, since it uses less digits than its factorization.

102013312111332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131576 (or 131574 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102013312111332 its reverse (233111213310201), we get a palindrome (335124525421533).

The spelling of 102013312111332 in words is "one hundred two trillion, thirteen billion, three hundred twelve million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 7691 9679 15382 19358 23073 29037 30764 38716 46146 58074 92292 114199 116148 228398 342597 456796 685194 1370388 74441189 148882378 223323567 297764756 446647134 878304509 893294268 1105332121 1756609018 2210664242 2634913527 3315996363 3513218036 4421328484 5269827054 6631992726 10539654108 13263985452 8501109342611 17002218685222 25503328027833 34004437370444 51006656055666 102013312111332