Search a number
-
+
102312101232 = 243211173799469
BaseRepresentation
bin101111101001001000…
…1101100010101110000
3100210002022021020212200
41133102101230111300
53134013344214412
6115000155223200
710251250340265
oct1372221542560
9323068236780
10102312101232
113a432571a70
12179b4147b00
139856830993
144d4815d26c
1529dc1eb9dc
hex17d246c570

102312101232 has 120 divisors (see below), whose sum is σ = 330736264560. Its totient is φ = 29179914240.

The previous prime is 102312101207. The next prime is 102312101233. The reversal of 102312101232 is 232101213201.

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 (102312101233) 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, 1872807 + ... + 1926662.

It is an arithmetic number, because the mean of its divisors is an integer number (2756135538).

Almost surely, 2102312101232 is an apocalyptic number.

102312101232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102312101232 is an abundant number, since it is smaller than the sum of its proper divisors (228424163328).

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

102312101232 is a wasteful number, since it uses less digits than its factorization.

102312101232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799511 (or 3799502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102312101232 its reverse (232101213201), we get a palindrome (334413314433).

The spelling of 102312101232 in words is "one hundred two billion, three hundred twelve million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 3799469 7598938 11398407 15197876 22796814 30395752 34195221 41794159 45593628 60791504 64590973 68390442 83588318 91187256 125382477 129181946 136780884 167176636 182374512 193772919 250764954 258363892 273561768 334353272 376147431 387545838 501529908 516727784 547123536 581318757 668706544 710500703 752294862 775091676 1003059816 1033455568 1162637514 1421001406 1504589724 1550183352 2006119632 2131502109 2325275028 2842002812 3009179448 3100366704 4263004218 4650550056 5684005624 6018358896 6394506327 8526008436 9301100112 11368011248 12789012654 17052016872 25578025308 34104033744 51156050616 102312101232