Search a number
-
+
211011221323131 = 31964154171066139
BaseRepresentation
bin101111111110100111100000…
…111000111111110101111011
31000200010110211211012000101020
4233332213200320333311323
5210124201440124320011
62024441114500553523
762306025526261005
oct5776474070776573
91020113754160336
10211011221323131
11612643a1427429
121b7bb47b0b28a3
13909837141c2b8
143a16dd75dd375
15195dd45955006
hexbfe9e0e3fd7b

211011221323131 has 32 divisors (see below), whose sum is σ = 296673157267200. Its totient is φ = 133037646520320.

The previous prime is 211011221323109. The next prime is 211011221323151. The reversal of 211011221323131 is 131323122110112.

It is not a de Polignac number, because 211011221323131 - 214 = 211011221306747 is a prime.

It is a super-2 number, since 2×2110112213231312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211011221323151) 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, 197387860 + ... + 198453998.

It is an arithmetic number, because the mean of its divisors is an integer number (9271036164600).

Almost surely, 2211011221323131 is an apocalyptic number.

211011221323131 is a deficient number, since it is larger than the sum of its proper divisors (85661935944069).

211011221323131 is a wasteful number, since it uses less digits than its factorization.

211011221323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072219.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 211011221323131 its reverse (131323122110112), we get a palindrome (342334343433243).

The spelling of 211011221323131 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 19 57 641 1923 5417 12179 16251 36537 102923 308769 1066139 3198417 3472297 10416891 20256641 60769923 65973643 197920929 683395099 2050185297 5775274963 12984506881 17325824889 38953520643 109730224297 329190672891 3701951251283 11105853753849 70337073774377 211011221323131