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10131131220 = 2235723445963
BaseRepresentation
bin10010110111101110…
…01100101101010100
3222011001111210100020
421123313030231110
5131222032144340
64353145145140
7506026123500
oct113367145524
928131453306
1010131131220
114329839921
121b68a8b1b0
13c55c10b02
146c1739300
153e46619d0
hex25bdccb54

10131131220 has 72 divisors (see below), whose sum is σ = 32998551264. Its totient is φ = 2315686464.

The previous prime is 10131131167. The next prime is 10131131221. The reversal of 10131131220 is 2213113101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10131131220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131131221) 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, 1720042 + ... + 1725921.

It is an arithmetic number, because the mean of its divisors is an integer number (458313212).

Almost surely, 210131131220 is an apocalyptic number.

10131131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131131220 is an abundant number, since it is smaller than the sum of its proper divisors (22867420044).

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

10131131220 is a wasteful number, since it uses less digits than its factorization.

10131131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445989 (or 3445980 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10131131220 its reverse (2213113101), we get a palindrome (12344244321).

The spelling of 10131131220 in words is "ten billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3445963 6891926 10337889 13783852 17229815 20675778 24121741 34459630 41351556 48243482 51689445 68919260 72365223 96486964 103378890 120608705 144730446 168852187 206757780 241217410 289460892 337704374 361826115 482434820 506556561 675408748 723652230 844260935 1013113122 1447304460 1688521870 2026226244 2532782805 3377043740 5065565610 10131131220