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113101220331 = 321140112492281
BaseRepresentation
bin110100101010101011…
…0111010100111101011
3101210221012220021220100
41221111112322213223
53323112403022311
6123542531400443
711112516340101
oct1512526724753
9353835807810
10113101220331
1143a69765920
1219b05453123
13a885b61518
14568d017c71
152e1e4d2a56
hex1a555ba9eb

113101220331 has 48 divisors (see below), whose sum is σ = 178885980000. Its totient is φ = 68290560000.

The previous prime is 113101220329. The next prime is 113101220399. The reversal of 113101220331 is 133022101311.

113101220331 is a `hidden beast` number, since 1 + 1 + 310 + 1 + 2 + 20 + 331 = 666.

It is not a de Polignac number, because 113101220331 - 21 = 113101220329 is a prime.

It is a super-3 number, since 3×1131012203313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (113101220131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49582911 + ... + 49585191.

It is an arithmetic number, because the mean of its divisors is an integer number (3726791250).

Almost surely, 2113101220331 is an apocalyptic number.

113101220331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113101220331 is a deficient number, since it is larger than the sum of its proper divisors (65784759669).

113101220331 is a wasteful number, since it uses less digits than its factorization.

113101220331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113101220331 its reverse (133022101311), we get a palindrome (246123321642).

The spelling of 113101220331 in words is "one hundred thirteen billion, one hundred one million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 401 1203 1249 2281 3609 3747 4411 6843 11241 13233 13739 20529 25091 39699 41217 75273 123651 225819 500849 914681 1502547 2744043 2848969 4507641 5509339 8232129 8546907 10061491 16528017 25640721 30184473 31338659 49584051 90553419 94015977 282047931 1142436569 3427309707 10281929121 12566802259 37700406777 113101220331