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102232311311 = 1321309946181
BaseRepresentation
bin101111100110110000…
…1010100011000001111
3100202212202010111200102
41133031201110120033
53133332432430221
6114544225121315
710246261210514
oct1371541243017
9322782114612
10102232311311
113a3a1524689
121799148923b
139843145100
144d3b70d30b
1529d51da30b
hex17cd85460f

102232311311 has 12 divisors (see below), whose sum is σ = 110712108600. Its totient is φ = 94359039840.

The previous prime is 102232311299. The next prime is 102232311319. The reversal of 102232311311 is 113113232201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-102232311311 is a prime.

It is a super-3 number, since 3×1022323113113 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232311319) 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 11 ways as a sum of consecutive naturals, for example, 2190641 + ... + 2236821.

It is an arithmetic number, because the mean of its divisors is an integer number (9226009050).

Almost surely, 2102232311311 is an apocalyptic number.

102232311311 is a deficient number, since it is larger than the sum of its proper divisors (8479797289).

102232311311 is a wasteful number, since it uses less digits than its factorization.

102232311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59306 (or 59293 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102232311311 its reverse (113113232201), we get a palindrome (215345543512).

The spelling of 102232311311 in words is "one hundred two billion, two hundred thirty-two million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 13 169 13099 46181 170287 600353 2213731 7804589 604924919 7864023947 102232311311