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113133312341 = 7223127790429
BaseRepresentation
bin110100101011101000…
…1010101100101010101
3101211000110021201212022
41221113101111211111
53323144111443331
6123550035302525
711113356200600
oct1512721254525
9354013251768
10113133312341
1143a85895045
1219b1414aa45
13a88c6b978a
1456933ad337
152e2222167b
hex1a57455955

113133312341 has 24 divisors (see below), whose sum is σ = 138407454720. Its totient is φ = 92024789472.

The previous prime is 113133312317. The next prime is 113133312343. The reversal of 113133312341 is 143213331311.

It is a happy number.

It is not a de Polignac number, because 113133312341 - 26 = 113133312277 is a prime.

It is a super-2 number, since 2×1131333123412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113133312341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113133312343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252086 + ... + 538343.

It is an arithmetic number, because the mean of its divisors is an integer number (5766977280).

Almost surely, 2113133312341 is an apocalyptic number.

It is an amenable number.

113133312341 is a deficient number, since it is larger than the sum of its proper divisors (25274142379).

113133312341 is a wasteful number, since it uses less digits than its factorization.

113133312341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790593 (or 790586 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

Adding to 113133312341 its reverse (143213331311), we get a palindrome (256346643652).

The spelling of 113133312341 in words is "one hundred thirteen billion, one hundred thirty-three million, three hundred twelve thousand, three hundred forty-one".

Divisors: 1 7 23 49 127 161 889 1127 2921 6223 20447 143129 790429 5533003 18179867 38731021 100384483 127259069 702691381 890813483 2308843109 4918839667 16161901763 113133312341