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32140120054131 = 321131491224117327
BaseRepresentation
bin1110100111011001101000…
…11100000101100101110011
311012210120021020010212111200
413103230310130011211303
513203040431213213011
6152204544535142243
76525022064611515
oct723546434054563
9135716236125450
1032140120054131
11a271603974471
123730b79214983
1314c1a533ab04b
147d1839399bb5
153ab0892de856
hex1d3b34705973

32140120054131 has 48 divisors (see below), whose sum is σ = 47156360284800. Its totient is φ = 21091657789440.

The previous prime is 32140120054127. The next prime is 32140120054199. The reversal of 32140120054131 is 13145002104123.

32140120054131 is a `hidden beast` number, since 3 + 2 + 1 + 40 + 1 + 200 + 5 + 413 + 1 = 666.

It is not a de Polignac number, because 32140120054131 - 22 = 32140120054127 is a prime.

It is a super-2 number, since 2×321401200541312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32140120054095 and 32140120054104.

It is not an unprimeable number, because it can be changed into a prime (32140120004131) 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, 1854906790 + ... + 1854924116.

It is an arithmetic number, because the mean of its divisors is an integer number (982424172600).

Almost surely, 232140120054131 is an apocalyptic number.

32140120054131 is a deficient number, since it is larger than the sum of its proper divisors (15016240230669).

32140120054131 is a wasteful number, since it uses less digits than its factorization.

32140120054131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29836 (or 29833 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 32140120054131 its reverse (13145002104123), we get a palindrome (45285122158254).

The spelling of 32140120054131 in words is "thirty-two trillion, one hundred forty billion, one hundred twenty million, fifty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 113 149 339 447 1017 1341 12241 16837 17327 36723 50511 51981 110169 151533 155943 1383233 1823909 1957951 2581723 4149699 5471727 5873853 7745169 12449097 16415181 17621559 23235507 206101717 212099807 291734699 618305151 636299421 875204097 1854915453 1908898263 2625612291 23967278191 31602871243 71901834573 94808613729 215705503719 284425841187 3571124450459 10713373351377 32140120054131