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9923122131 = 3132167233503
BaseRepresentation
bin10010011110111011…
…01101001111010011
3221121120002211111220
421033131231033103
5130310304402011
64320354540123
7500622101136
oct111735551723
927546084456
109923122131
11423238658a
121b0b297643
13c21ab1200
146a1c7021d
153d1274506
hex24f76d3d3

9923122131 has 48 divisors (see below), whose sum is σ = 14503297536. Its totient is φ = 6031903488.

The previous prime is 9923122127. The next prime is 9923122147. The reversal of 9923122131 is 1312213299.

It is not a de Polignac number, because 9923122131 - 22 = 9923122127 is a prime.

It is a super-2 number, since 2×99231221312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9923122092 and 9923122101.

It is not an unprimeable number, because it can be changed into a prime (9923122171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19727626 + ... + 19728128.

It is an arithmetic number, because the mean of its divisors is an integer number (302152032).

Almost surely, 29923122131 is an apocalyptic number.

9923122131 is a deficient number, since it is larger than the sum of its proper divisors (4580175405).

9923122131 is a wasteful number, since it uses less digits than its factorization.

9923122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 919 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 9923122131 is about 99614.8690256630. The cubic root of 9923122131 is about 2148.8995364163.

The spelling of 9923122131 in words is "nine billion, nine hundred twenty-three million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 39 167 169 233 501 503 507 699 1509 2171 3029 6513 6539 9087 19617 28223 38911 39377 84001 84669 85007 116733 117199 118131 252003 255021 351597 505843 1092013 1517529 1523587 3276039 4570761 6575959 14196169 19572233 19727877 19806631 42588507 58716699 59419893 254439029 763317087 3307707377 9923122131