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22142431131210 = 23251318925154813
BaseRepresentation
bin1010000100011011011111…
…01111011111011001001010
32220101210111002121111102200
411002031233233133121022
510400240144332144320
6115032031544341030
74443511041122235
oct502155757373112
986353432544380
1022142431131210
117067609137905
122597427474776
13c48039ca5870
145679b118041c
15285e9720a290
hex14236fbdf64a

22142431131210 has 48 divisors (see below), whose sum is σ = 61998807170664. Its totient is φ = 5450444585856.

The previous prime is 22142431131167. The next prime is 22142431131239. The reversal of 22142431131210 is 1213113424122.

22142431131210 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 431 + 13 + 1 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17331326674281 + 4811104456929 = 4163091^2 + 2193423^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9462576237 + ... + 9462578576.

Almost surely, 222142431131210 is an apocalyptic number.

22142431131210 is an abundant number, since it is smaller than the sum of its proper divisors (39856376039454).

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

22142431131210 is a wasteful number, since it uses less digits than its factorization.

22142431131210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18925154839 (or 18925154836 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22142431131210 its reverse (1213113424122), we get a palindrome (23355544555332).

The spelling of 22142431131210 in words is "twenty-two trillion, one hundred forty-two billion, four hundred thirty-one million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 18925154813 37850309626 56775464439 94625774065 113550928878 170326393317 189251548130 246027012569 283877322195 340652786634 492054025138 567754644390 738081037707 851631966585 1230135062845 1476162075414 1703263933170 2214243113121 2460270125690 3690405188535 4428486226242 7380810377070 11071215565605 22142431131210