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21202211113131 = 3291609151462757
BaseRepresentation
bin1001101001000100001100…
…10000110000100010101011
32210001220121112202210122010
410310202012100300202223
510234334112021110011
6113032054502331003
74315544361620616
oct464420620604253
983056545683563
1021202211113131
116834897484154
122465169729a63
13baa48a9c14b9
1453429a2b717d
1526b7b8c361a6
hex1348864308ab

21202211113131 has 16 divisors (see below), whose sum is σ = 29262604845600. Its totient is φ = 13638918252288.

The previous prime is 21202211113049. The next prime is 21202211113133. The reversal of 21202211113131 is 13131111220212.

It is not a de Polignac number, because 21202211113131 - 211 = 21202211111083 is a prime.

It is a super-2 number, since 2×212022111131312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21202211113098 and 21202211113107.

It is not an unprimeable number, because it can be changed into a prime (21202211113133) 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 15 ways as a sum of consecutive naturals, for example, 75591396 + ... + 75871361.

It is an arithmetic number, because the mean of its divisors is an integer number (1828912802850).

Almost surely, 221202211113131 is an apocalyptic number.

21202211113131 is a deficient number, since it is larger than the sum of its proper divisors (8060393732469).

21202211113131 is a wasteful number, since it uses less digits than its factorization.

21202211113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151464398.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 21202211113131 its reverse (13131111220212), we get a palindrome (34333322333343).

The spelling of 21202211113131 in words is "twenty-one trillion, two hundred two billion, two hundred eleven million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 29 87 1609 4827 46661 139983 151462757 454388271 4392419953 13177259859 243703576013 731110728039 7067403704377 21202211113131