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102232311013 = 71071091125107
BaseRepresentation
bin101111100110110000…
…1010100010011100101
3100202212202010111021101
41133031201110103211
53133332432423023
6114544225120101
710246261206610
oct1371541242345
9322782114241
10102232311013
113a3a1524438
1217991489031
139843144c31
144d3b70d177
1529d51da1ad
hex17cd8544e5

102232311013 has 16 divisors (see below), whose sum is σ = 118037896704. Its totient is φ = 86728483440.

The previous prime is 102232310981. The next prime is 102232311059. The reversal of 102232311013 is 310113232201.

It is a cyclic number.

It is not a de Polignac number, because 102232311013 - 25 = 102232310981 is a prime.

It is a super-2 number, since 2×1022323110132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232371013) 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 15 ways as a sum of consecutive naturals, for example, 754606 + ... + 879712.

It is an arithmetic number, because the mean of its divisors is an integer number (7377368544).

Almost surely, 2102232311013 is an apocalyptic number.

It is an amenable number.

102232311013 is a deficient number, since it is larger than the sum of its proper divisors (15805585691).

102232311013 is a wasteful number, since it uses less digits than its factorization.

102232311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126312.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102232311013 its reverse (310113232201), we get a palindrome (412345543214).

The spelling of 102232311013 in words is "one hundred two billion, two hundred thirty-two million, three hundred eleven thousand, thirteen".

Divisors: 1 7 107 749 1091 7637 116737 125107 817159 875749 13386449 93705143 136491737 955442159 14604615859 102232311013