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102312222132 = 22323419041377
BaseRepresentation
bin101111101001001001…
…0001001110110110100
3100210002022111101201110
41133102102021312310
53134013412102012
6115000201555020
710251251352621
oct1372222116664
9323068441643
10102312222132
113a43264488a
12179b41a5a70
139856873a13
144d48191348
1529dc22273c
hex17d2489db4

102312222132 has 48 divisors (see below), whose sum is σ = 255183852672. Its totient is φ = 31825643520.

The previous prime is 102312222127. The next prime is 102312222149. The reversal of 102312222132 is 231222213201.

It is a junction number, because it is equal to n+sod(n) for n = 102312222099 and 102312222108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4509373 + ... + 4532004.

It is an arithmetic number, because the mean of its divisors is an integer number (5316330264).

Almost surely, 2102312222132 is an apocalyptic number.

102312222132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102312222132 is an abundant number, since it is smaller than the sum of its proper divisors (152871630540).

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

102312222132 is a wasteful number, since it uses less digits than its factorization.

102312222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041448 (or 9041446 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102312222132 its reverse (231222213201), we get a palindrome (333534435333).

The spelling of 102312222132 in words is "one hundred two billion, three hundred twelve million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1886 2829 3772 5658 11316 9041377 18082754 27124131 36165508 54248262 108496524 207951671 370696457 415903342 623855013 741392914 831806684 1112089371 1247710026 1482785828 2224178742 2495420052 4448357484 8526018511 17052037022 25578055533 34104074044 51156111066 102312222132