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113141112253 = 13211316133673
BaseRepresentation
bin110100101011110111…
…1000101110110111101
3101211000222222000022221
41221113233011312331
53323203111043003
6123550514405341
711113512405061
oct1512757056675
9354028860287
10113141112253
1143a8a232254
1219b16890851
13a8911bab00
14569443daa1
152e22c627bd
hex1a57bc5dbd

113141112253 has 24 divisors (see below), whose sum is σ = 123708238632. Its totient is φ = 103421380608.

The previous prime is 113141112247. The next prime is 113141112257. The reversal of 113141112253 is 352211141311.

It can be written as a sum of positive squares in 12 ways, for example, as 105639300484 + 7501811769 = 325022^2 + 86613^2 .

It is not a de Polignac number, because 113141112253 - 25 = 113141112221 is a prime.

It is a super-2 number, since 2×1131411122532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113141112257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30801625 + ... + 30805297.

It is an arithmetic number, because the mean of its divisors is an integer number (5154509943).

Almost surely, 2113141112253 is an apocalyptic number.

113141112253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113141112253 is a deficient number, since it is larger than the sum of its proper divisors (10567126379).

113141112253 is a wasteful number, since it uses less digits than its factorization.

113141112253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5412 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

Adding to 113141112253 its reverse (352211141311), we get a palindrome (465352253564).

The spelling of 113141112253 in words is "one hundred thirteen billion, one hundred forty-one million, one hundred twelve thousand, two hundred fifty-three".

Divisors: 1 13 113 169 1469 1613 3673 19097 20969 47749 182269 272597 415049 620737 2369497 5395637 5924549 30803461 70143281 77019137 669474037 1001248781 8703162481 113141112253