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23032101132131 = 71323219922910499
BaseRepresentation
bin1010011110010100101000…
…01101001101011101100011
310000112211212201200020220112
411033022110031031131203
511004324220342212011
6120552445020201535
74565004636265340
oct517122415153543
9100484781606815
1023032101132131
11737a94a709483
1226bb9380992ab
13cb0bc15a1c80
14598a8c6617c7
1529e1b78e158b
hex14f29434d763

23032101132131 has 96 divisors (see below), whose sum is σ = 29915088000000. Its totient is φ = 17265915811584.

The previous prime is 23032101132097. The next prime is 23032101132179. The reversal of 23032101132131 is 13123110123032.

It is a de Polignac number, because none of the positive numbers 2k-23032101132131 is a prime.

It is a super-2 number, since 2×230321011321312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 23032101132097 and 23032101132106.

It is not an unprimeable number, because it can be changed into a prime (23032101132631) 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 95 ways as a sum of consecutive naturals, for example, 2193737120 + ... + 2193747618.

It is an arithmetic number, because the mean of its divisors is an integer number (311615500000).

Almost surely, 223032101132131 is an apocalyptic number.

23032101132131 is a deficient number, since it is larger than the sum of its proper divisors (6882986867869).

23032101132131 is a wasteful number, since it uses less digits than its factorization.

23032101132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10993 (or 10970 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 23032101132131 its reverse (13123110123032), we get a palindrome (36155211255163).

The spelling of 23032101132131 in words is "twenty-three trillion, thirty-two billion, one hundred one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 13 23 91 161 199 229 299 529 1393 1603 2093 2587 2977 3703 4577 5267 6877 10499 18109 20839 32039 36869 45571 48139 59501 68471 73493 105271 121141 136487 241477 318997 416507 479297 592423 736897 847987 955409 1048133 1368523 1574833 1690339 2089301 2404271 3139201 4146961 5553971 7336931 9579661 11023831 13625729 14625107 16829897 21974407 24107059 27160913 31255523 38877797 48053923 55298233 72201623 95380103 168749413 190126391 218788661 313391767 336377461 387087631 478449929 505411361 624700999 718877029 1105240229 1271859359 2193742369 3349149503 4372906993 5032139203 6219849077 7736681603 8903015513 11004348367 14368122977 16534171667 43538943539 77030438569 100576860839 115739201669 143056528771 253100012441 1001395701397 1771700087087 3290300161733 23032101132131