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131301122320 = 2453079533051
BaseRepresentation
bin111101001001000101…
…0000010000100010000
3110112220121020002220101
41322102022002010100
54122401041403240
6140152514422144
712325523060614
oct1722212020420
9415817202811
10131301122320
1150759073635
1221544591954
13c4c66135b4
1464d81dd344
1536371c639a
hex1e92282110

131301122320 has 40 divisors (see below), whose sum is σ = 305374829760. Its totient is φ = 52503292800.

The previous prime is 131301122311. The next prime is 131301122333. The reversal of 131301122320 is 23221103131.

131301122320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1313011223203 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20206 + ... + 512845.

It is an arithmetic number, because the mean of its divisors is an integer number (7634370744).

Almost surely, 2131301122320 is an apocalyptic number.

131301122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301122320 is an abundant number, since it is smaller than the sum of its proper divisors (174073707440).

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

131301122320 is a wasteful number, since it uses less digits than its factorization.

131301122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536143 (or 536137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131301122320 its reverse (23221103131), we get a palindrome (154522225451).

It can be divided in two parts, 1313011 and 22320, that added together give a palindrome (1335331).

The spelling of 131301122320 in words is "one hundred thirty-one billion, three hundred one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3079 6158 12316 15395 24632 30790 49264 61580 123160 246320 533051 1066102 2132204 2665255 4264408 5330510 8528816 10661020 21322040 42644080 1641264029 3282528058 6565056116 8206320145 13130112232 16412640290 26260224464 32825280580 65650561160 131301122320