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120001122013131 = 32167769967710729
BaseRepresentation
bin11011010010001111110000…
…010000000000111111001011
3120201212222212112001012121100
4123102033300100000333023
5111212044244213410011
61103115430541312443
734163536446142362
oct3322176020007713
9521788775035540
10120001122013131
113526620aa54297
1211561030b65723
1351c6098a17178
14218c12a09c7d9
15dd1787dd8d56
hex6d23f0400fcb

120001122013131 has 48 divisors (see below), whose sum is σ = 174633958699200. Its totient is φ = 79402684022784.

The previous prime is 120001122013103. The next prime is 120001122013169. The reversal of 120001122013131 is 131310221100021.

120001122013131 is a `hidden beast` number, since 120 + 0 + 0 + 11 + 220 + 1 + 313 + 1 = 666.

It is not a de Polignac number, because 120001122013131 - 29 = 120001122012619 is a prime.

It is a super-2 number, since 2×1200011220131312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120001122017131) 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, 11184738975 + ... + 11184749703.

It is an arithmetic number, because the mean of its divisors is an integer number (3638207472900).

Almost surely, 2120001122013131 is an apocalyptic number.

120001122013131 is a deficient number, since it is larger than the sum of its proper divisors (54632836686069).

120001122013131 is a wasteful number, since it uses less digits than its factorization.

120001122013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21348 (or 21345 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120001122013131 its reverse (131310221100021), we get a palindrome (251311343113152).

The spelling of 120001122013131 in words is "one hundred twenty trillion, one billion, one hundred twenty-two million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 167 501 769 1503 2307 6921 9677 10729 29031 32187 87093 96561 128423 385269 1155807 1616059 1791743 4848177 5375229 7441613 8250601 14544531 16125687 22324839 24751803 66974517 74255409 103824533 311473599 934420797 1242749371 1377850367 3728248113 4133551101 11184744339 12400653303 17338697011 52016091033 79841065877 156048273099 239523197631 718569592893 13333458001459 40000374004377 120001122013131