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102312001332 = 223223671844257
BaseRepresentation
bin101111101001001000…
…1010011111100110100
3100210002022002011211200
41133102101103330310
53134013333020312
6115000153132500
710251246443112
oct1372221237464
9323068064750
10102312001332
113a432503a02
12179b40ba130
1398567c7378
144d48134ab2
1529dc1cc0dc
hex17d2453f34

102312001332 has 72 divisors (see below), whose sum is σ = 273894444096. Its totient is φ = 32134316544.

The previous prime is 102312001331. The next prime is 102312001343. The reversal of 102312001332 is 233100213201.

102312001332 is a `hidden beast` number, since 102 + 31 + 200 + 1 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312001331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866653 + ... + 977604.

Almost surely, 2102312001332 is an apocalyptic number.

102312001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102312001332 is an abundant number, since it is smaller than the sum of its proper divisors (171582442764).

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

102312001332 is a wasteful number, since it uses less digits than its factorization.

102312001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844357 (or 1844352 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102312001332 its reverse (233100213201), we get a palindrome (335412214533).

The spelling of 102312001332 in words is "one hundred two billion, three hundred twelve million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 603 804 828 1206 1541 2412 3082 4623 6164 9246 13869 18492 27738 55476 1844257 3688514 5532771 7377028 11065542 16598313 22131084 33196626 42417911 66393252 84835822 123565219 127253733 169671644 247130438 254507466 370695657 381761199 494260876 509014932 741391314 763522398 1112086971 1482782628 1527044796 2224173942 2842000037 4448347884 5684000074 8526000111 11368000148 17052000222 25578000333 34104000444 51156000666 102312001332