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22201323430131 = 3319161326830399
BaseRepresentation
bin1010000110001001001011…
…11111110010000011110011
32220121102111101212020222000
411003010211333302003303
510402221302244231011
6115115051442545043
74450664330320566
oct503044577620363
986542441766860
1022201323430131
11708a58a31a72a
1225a6922368183
13c507640b6a11
1456a79a88c4dd
152877925a5356
hex143125ff20f3

22201323430131 has 32 divisors (see below), whose sum is σ = 34643412480000. Its totient is φ = 14013194910624.

The previous prime is 22201323430087. The next prime is 22201323430151. The reversal of 22201323430131 is 13103432310222.

22201323430131 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 1 + 323 + 4 + 301 + 31 = 666.

It is not a de Polignac number, because 22201323430131 - 27 = 22201323430003 is a prime.

It is a super-2 number, since 2×222013234301312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22201323430095 and 22201323430104.

It is not an unprimeable number, because it can be changed into a prime (22201323430151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12587731 + ... + 14242668.

It is an arithmetic number, because the mean of its divisors is an integer number (1082606640000).

Almost surely, 222201323430131 is an apocalyptic number.

22201323430131 is a deficient number, since it is larger than the sum of its proper divisors (12442089049869).

22201323430131 is a wasteful number, since it uses less digits than its factorization.

22201323430131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26832040 (or 26832034 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22201323430131 its reverse (13103432310222), we get a palindrome (35304755740353).

The spelling of 22201323430131 in words is "twenty-two trillion, two hundred one billion, three hundred twenty-three million, four hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 1613 4839 14517 30647 43551 91941 275823 827469 26830399 80491197 241473591 509777581 724420773 1529332743 4587998229 13763994687 43277433587 129832300761 389496902283 822271238153 1168490706849 2466813714459 7400441143377 22201323430131