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211221122013131 = 532701107267359
BaseRepresentation
bin110000000001101010111111…
…111100100101011111001011
31000200212112122011100212021212
4300001222333330211133023
5210141121324213410011
62025121351025123335
762330136210560306
oct6001527774453713
91020775564325255
10211221122013131
116133541394255a
121b83409a48954b
1390b20b2997209
143a2322a591b3d
15196452d1bc08b
hexc01abff257cb

211221122013131 has 12 divisors (see below), whose sum is σ = 215588729079360. Its totient is φ = 206940187053600.

The previous prime is 211221122013017. The next prime is 211221122013133. The reversal of 211221122013131 is 131310221122112.

It is a de Polignac number, because none of the positive numbers 2k-211221122013131 is a prime.

It is a super-2 number, since 2×2112211220131312 (a number of 29 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 = 211221122013097 and 211221122013106.

It is not an unprimeable number, because it can be changed into a prime (211221122013133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51664571 + ... + 55602788.

It is an arithmetic number, because the mean of its divisors is an integer number (17965727423280).

Almost surely, 2211221122013131 is an apocalyptic number.

211221122013131 is a deficient number, since it is larger than the sum of its proper divisors (4367607066229).

211221122013131 is an equidigital number, since it uses as much as digits as its factorization.

211221122013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107268166 (or 107268113 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 211221122013131 its reverse (131310221122112), we get a palindrome (342531343135243).

The spelling of 211221122013131 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, thirteen thousand, one hundred thirty-one".

Divisors: 1 53 701 2809 37153 1969109 107267359 5685170027 75194418659 301314011431 3985304188927 211221122013131