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102311302302329 = 1759731397332691
BaseRepresentation
bin10111010000110100110100…
…110101001000101001111001
3111102020212100120100212001212
4113100310310311020221321
5101402232021342133304
61001333055144252505
730356514306434501
oct2720646465105171
9442225316325055
10102311302302329
112a665a8599928a
12b584748171135
134511bb6c59273
141b39c718c6a01
15bc654231166e
hex5d0d34d48a79

102311302302329 has 16 divisors (see below), whose sum is σ = 111674828744640. Its totient is φ = 93364181015040.

The previous prime is 102311302302233. The next prime is 102311302302331. The reversal of 102311302302329 is 923203203113201.

It is a cyclic number.

It is not a de Polignac number, because 102311302302329 - 220 = 102311301253753 is a prime.

It is a super-2 number, since 2×1023113023023292 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102311302302295 and 102311302302304.

It is not an unprimeable number, because it can be changed into a prime (102311302302379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698593127 + ... + 698739564.

It is an arithmetic number, because the mean of its divisors is an integer number (6979676796540).

Almost surely, 2102311302302329 is an apocalyptic number.

It is an amenable number.

102311302302329 is a deficient number, since it is larger than the sum of its proper divisors (9363526442311).

102311302302329 is a wasteful number, since it uses less digits than its factorization.

102311302302329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397332840.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 102311302302329 in words is "one hundred two trillion, three hundred eleven billion, three hundred two million, three hundred two thousand, three hundred twenty-nine".

Divisors: 1 17 59 73 1003 1241 4307 73219 1397332691 23754655747 82442628769 102005286443 1401524689073 1734089869531 6018311900137 102311302302329