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102313423104 = 283418273929
BaseRepresentation
bin101111101001001011…
…0101111000100000000
3100210002101202102010220
41133102112233010000
53134014214014404
6115000243423040
710251264514164
oct1372226570400
9323071672126
10102313423104
113a433295122
12179b4684a80
139856ba4559
144d483c4ca4
1529dc3ad4d9
hex17d25af100

102313423104 has 144 divisors (see below), whose sum is σ = 279352825920. Its totient is φ = 33223966720.

The previous prime is 102313423097. The next prime is 102313423109. The reversal of 102313423104 is 401324313201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102313423109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26038612 + ... + 26042540.

It is an arithmetic number, because the mean of its divisors is an integer number (1939950180).

Almost surely, 2102313423104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139676412960).

102313423104 is an abundant number, since it is smaller than the sum of its proper divisors (177039402816).

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

102313423104 is an equidigital number, since it uses as much as digits as its factorization.

102313423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102313423104 its reverse (401324313201), we get a palindrome (503637736305).

The spelling of 102313423104 in words is "one hundred two billion, three hundred thirteen million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 827 984 1312 1654 1968 2481 2624 3308 3929 3936 4962 5248 6616 7858 7872 9924 10496 11787 13232 15716 15744 19848 23574 26464 31432 31488 33907 39696 47148 52928 62864 67814 79392 94296 101721 105856 125728 135628 158784 161089 188592 203442 211712 251456 271256 317568 322178 377184 406884 483267 502912 542512 635136 644356 754368 813768 966534 1005824 1085024 1288712 1508736 1627536 1933068 2170048 2577424 3017472 3249283 3255072 3866136 4340096 5154848 6498566 6510144 7732272 8680192 9747849 10309696 12997132 13020288 15464544 19495698 20619392 25994264 26040576 30929088 38991396 41238784 51988528 61858176 77982792 103977056 123716352 133220603 155965584 207954112 266441206 311931168 399661809 415908224 532882412 623862336 799323618 831816448 1065764824 1247724672 1598647236 2131529648 2495449344 3197294472 4263059296 6394588944 8526118592 12789177888 17052237184 25578355776 34104474368 51156711552 102313423104