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102312193280 = 285117266491
BaseRepresentation
bin101111101001001001…
…0000010110100000000
3100210002022102221010212
41133102102002310000
53134013410141110
6115000201213252
710251251202533
oct1372222026400
9323068387125
10102312193280
113a432625140
12179b4191228
13985686384b
144d48184a1a
1529dc218e05
hex17d2482d00

102312193280 has 72 divisors (see below), whose sum is σ = 267348773664. Its totient is φ = 37204428800.

The previous prime is 102312193231. The next prime is 102312193283. The reversal of 102312193280 is 82391213201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312193283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3619166 + ... + 3647325.

It is an arithmetic number, because the mean of its divisors is an integer number (3713177412).

Almost surely, 2102312193280 is an apocalyptic number.

102312193280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102312193280 is an abundant number, since it is smaller than the sum of its proper divisors (165036580384).

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

102312193280 is an equidigital number, since it uses as much as digits as its factorization.

102312193280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266523 (or 7266509 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

It can be divided in two parts, 102312 and 193280, that added together give a palindrome (295592).

The spelling of 102312193280 in words is "one hundred two billion, three hundred twelve million, one hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 7266491 14532982 29065964 36332455 58131928 72664910 79931401 116263856 145329820 159862802 232527712 290659640 319725604 399657005 465055424 581319280 639451208 799314010 930110848 1162638560 1278902416 1598628020 1860221696 2325277120 2557804832 3197256040 4650554240 5115609664 6394512080 9301108480 10231219328 12789024160 20462438656 25578048320 51156096640 102312193280