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102353120331 = 371110110634127
BaseRepresentation
bin101111101010010111…
…0001010110001001011
3100210012011110020111120
41133110232022301023
53134104344322311
6115004222330323
710252256111430
oct1372456126113
9323164406446
10102353120331
113a453739250
1217a05a299a3
139862193337
144d4d799b87
1529e0b00706
hex17d4b8ac4b

102353120331 has 64 divisors (see below), whose sum is σ = 172033376256. Its totient is φ = 52581744000.

The previous prime is 102353120293. The next prime is 102353120357. The reversal of 102353120331 is 133021353201.

It is not a de Polignac number, because 102353120331 - 219 = 102352596043 is a prime.

It is a super-2 number, since 2×1023531203312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102353120381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24798790 + ... + 24802916.

It is an arithmetic number, because the mean of its divisors is an integer number (2688021504).

Almost surely, 2102353120331 is an apocalyptic number.

102353120331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102353120331 is a deficient number, since it is larger than the sum of its proper divisors (69680255925).

102353120331 is a wasteful number, since it uses less digits than its factorization.

102353120331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 102353120331 its reverse (133021353201), we get a palindrome (235374473532).

The spelling of 102353120331 in words is "one hundred two billion, three hundred fifty-three million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 101 231 303 707 1063 1111 2121 3189 3333 4127 7441 7777 11693 12381 22323 23331 28889 35079 45397 81851 86667 107363 136191 245553 317779 322089 416827 751541 953337 1180993 1250481 2254623 2917789 3542979 4387001 4585097 8266951 8753367 13161003 13755291 24800853 30709007 32095679 48257011 92127021 96287037 144771033 337799077 443087101 1013397231 1329261303 3101609707 4873958111 9304829121 14621874333 34117706777 102353120331