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10323131220 = 22325101567829
BaseRepresentation
bin10011001110100111…
…00111101101010100
3222122102210101211100
421213103213231110
5132120210144340
64424204310100
7513550111323
oct114723475524
928572711740
1010323131220
114418158306
122001242330
13c8692698c
146dd0380ba
1540643a830
hex2674e7b54

10323131220 has 72 divisors (see below), whose sum is σ = 31623588360. Its totient is φ = 2725574400.

The previous prime is 10323131173. The next prime is 10323131227. The reversal of 10323131220 is 2213132301.

10323131220 is a `hidden beast` number, since 10 + 323 + 1 + 312 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6439099536 + 3884031684 = 80244^2 + 62322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10323131193 and 10323131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323131227) 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 23 ways as a sum of consecutive naturals, for example, 265735 + ... + 302094.

It is an arithmetic number, because the mean of its divisors is an integer number (439216505).

Almost surely, 210323131220 is an apocalyptic number.

10323131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10323131220 is an abundant number, since it is smaller than the sum of its proper divisors (21300457140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10323131220 is a wasteful number, since it uses less digits than its factorization.

10323131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567945 (or 567940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10323131220 its reverse (2213132301), we get a palindrome (12536263521).

The spelling of 10323131220 in words is "ten billion, three hundred twenty-three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 567829 1135658 1703487 2271316 2839145 3406974 5110461 5678290 6813948 8517435 10220922 11356580 17034870 20441844 25552305 34069740 51104610 57350729 102209220 114701458 172052187 229402916 286753645 344104374 516156561 573507290 688208748 860260935 1032313122 1147014580 1720521870 2064626244 2580782805 3441043740 5161565610 10323131220