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22100020342031 = 3141271370917299
BaseRepresentation
bin1010000011001100011111…
…10111001010110100001111
32220020202000102020011220002
411001212033313022310033
510344041320201421111
6115000335330114515
74440450051300452
oct501461767126417
986222012204802
1022100020342031
117050625378215
12258b17011ba3b
13c4403b62a838
1456590a745499
15284d13c6a63b
hex14198fdcad0f

22100020342031 has 32 divisors (see below), whose sum is σ = 23463250944000. Its totient is φ = 20781678816000.

The previous prime is 22100020342021. The next prime is 22100020342033. The reversal of 22100020342031 is 13024302000122.

It is a de Polignac number, because none of the positive numbers 2k-22100020342031 is a prime.

It is a super-2 number, since 2×221000203420312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22100020341994 and 22100020342012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100020342033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277523020 + ... + 1277540318.

It is an arithmetic number, because the mean of its divisors is an integer number (733226592000).

Almost surely, 222100020342031 is an apocalyptic number.

22100020342031 is a deficient number, since it is larger than the sum of its proper divisors (1363230601969).

22100020342031 is a wasteful number, since it uses less digits than its factorization.

22100020342031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21351.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22100020342031 its reverse (13024302000122), we get a palindrome (35124322342153).

The spelling of 22100020342031 in words is "twenty-two trillion, one hundred billion, twenty million, three hundred forty-two thousand, thirty-one".

Divisors: 1 31 41 271 1271 3709 8401 11111 17299 114979 152069 344441 536269 709259 1005139 4688029 4714139 21987029 31159309 41210699 64161991 145328899 192209189 1277531669 1989021721 2630641631 5958484859 17387899561 81549890561 539024886391 712903882001 22100020342031