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102012121323 = 32721719716161
BaseRepresentation
bin101111100000001100…
…1010111000011101011
3100202022101210200210200
41133000121113003223
53132410100340243
6114510321443243
710240645503300
oct1370031270353
9322271720720
10102012121323
113a299201692
121792b7a0523
13980963c088
144d1a3930a7
1529c0be3ad3
hex17c06570eb

102012121323 has 72 divisors (see below), whose sum is σ = 191043375120. Its totient is φ = 51976028160.

The previous prime is 102012121307. The next prime is 102012121339. The reversal of 102012121323 is 323121210201.

It is an interprime number because it is at equal distance from previous prime (102012121307) and next prime (102012121339).

It is not a de Polignac number, because 102012121323 - 24 = 102012121307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102012121296 and 102012121305.

It is not an unprimeable number, because it can be changed into a prime (102012121363) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 215638 + ... + 500523.

It is an arithmetic number, because the mean of its divisors is an integer number (2653380210).

Almost surely, 2102012121323 is an apocalyptic number.

102012121323 is a deficient number, since it is larger than the sum of its proper divisors (89031253797).

102012121323 is a wasteful number, since it uses less digits than its factorization.

102012121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716217 (or 716207 counting only the distinct ones).

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

Adding to 102012121323 its reverse (323121210201), we get a palindrome (425133331524).

The spelling of 102012121323 in words is "one hundred two billion, twelve million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 9 17 19 21 49 51 57 63 119 133 147 153 171 323 357 399 441 833 931 969 1071 1197 2261 2499 2793 2907 6783 7497 8379 15827 20349 47481 142443 716161 2148483 5013127 6445449 12174737 13607059 15039381 35091889 36524211 40821177 45118143 85223159 95249413 105275667 109572633 122463531 231320003 255669477 285748239 315827001 596562113 666745891 693960009 767008431 857244717 1619240021 1789686339 2000237673 2081880027 4857720063 5369059017 6000713019 11334680147 14573160189 34004040441 102012121323