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22150120115331 = 3213228195165969
BaseRepresentation
bin1010000100101001110100…
…00010101000110010000011
32220102112022221210100202100
411002110322002220302003
510400401421222142311
6115035342534121443
74444202424322455
oct502247202506203
986375287710670
1022150120115331
11706a8a439743a
122598a124b0283
13c48993c61b00
145681004082d5
1528629726ca56
hex14253a0a8c83

22150120115331 has 36 divisors (see below), whose sum is σ = 34657356216600. Its totient is φ = 13626005163264.

The previous prime is 22150120115329. The next prime is 22150120115363. The reversal of 22150120115331 is 13351102105122.

22150120115331 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 0 + 120 + 1 + 1 + 533 + 1 = 666.

It is not a de Polignac number, because 22150120115331 - 21 = 22150120115329 is a prime.

It is a super-2 number, since 2×221501201153312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22150120115295 and 22150120115304.

It is not an unprimeable number, because it can be changed into a prime (22150120115311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1704715 + ... + 6870683.

It is an arithmetic number, because the mean of its divisors is an integer number (962704339350).

Almost surely, 222150120115331 is an apocalyptic number.

22150120115331 is a deficient number, since it is larger than the sum of its proper divisors (12507236101269).

22150120115331 is a wasteful number, since it uses less digits than its factorization.

22150120115331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168820 (or 5168804 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 22150120115331 in words is "twenty-two trillion, one hundred fifty billion, one hundred twenty million, one hundred fifteen thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 2819 8457 25371 36647 109941 329823 476411 1429233 4287699 5165969 15497907 46493721 67157597 201472791 604418373 873048761 2619146283 7857438849 14562866611 43688599833 131065799499 189317265943 567951797829 1703855393487 2461124457259 7383373371777 22150120115331