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131313231220 = 225103107595741
BaseRepresentation
bin111101001001011100…
…0001110010101110100
3110112221110000022012011
41322102320032111310
54122412141344340
6140154030134004
712326031022543
oct1722270162564
9415843008164
10131313231220
1150764994196
1221548651304
13c4c8c93022
1464d9a7215a
1536382b90ea
hex1e92e0e574

131313231220 has 48 divisors (see below), whose sum is σ = 281037714048. Its totient is φ = 51529127040.

The previous prime is 131313231197. The next prime is 131313231221. The reversal of 131313231220 is 22132313131.

It is a junction number, because it is equal to n+sod(n) for n = 131313231191 and 131313231200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313231221) 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, 77451 + ... + 518290.

It is an arithmetic number, because the mean of its divisors is an integer number (5854952376).

Almost surely, 2131313231220 is an apocalyptic number.

131313231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313231220 is an abundant number, since it is smaller than the sum of its proper divisors (149724482828).

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

131313231220 is a wasteful number, since it uses less digits than its factorization.

131313231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595960 (or 595958 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131313231220 its reverse (22132313131), we get a palindrome (153445544351).

The spelling of 131313231220 in words is "one hundred thirty-one billion, three hundred thirteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 103 107 206 214 412 428 515 535 1030 1070 2060 2140 11021 22042 44084 55105 110210 220420 595741 1191482 2382964 2978705 5957410 11914820 61361323 63744287 122722646 127488574 245445292 254977148 306806615 318721435 613613230 637442870 1227226460 1274885740 6565661561 13131323122 26262646244 32828307805 65656615610 131313231220