Search a number
-
+
113101022331 = 3311541703903
BaseRepresentation
bin110100101010101011…
…0001010010001111011
3101210221012112020022000
41221111112022101323
53323112330203311
6123542523232043
711112514553613
oct1512526122173
9353835466260
10113101022331
1143a69640090
1219b05378623
13a885ac236b
14568cda5a43
152e1e494056
hex1a5558a47b

113101022331 has 32 divisors (see below), whose sum is σ = 183127664640. Its totient is φ = 68419274400.

The previous prime is 113101022317. The next prime is 113101022341. The reversal of 113101022331 is 133220101311.

113101022331 is a `hidden beast` number, since 1 + 1 + 310 + 1 + 0 + 22 + 331 = 666.

It is not a de Polignac number, because 113101022331 - 214 = 113101005947 is a prime.

It is a super-2 number, since 2×1131010223312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113101022311) 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 31 ways as a sum of consecutive naturals, for example, 191275 + ... + 512628.

It is an arithmetic number, because the mean of its divisors is an integer number (5722739520).

Almost surely, 2113101022331 is an apocalyptic number.

113101022331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113101022331 is a deficient number, since it is larger than the sum of its proper divisors (70026642309).

113101022331 is a wasteful number, since it uses less digits than its factorization.

113101022331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704464 (or 704458 counting only the distinct ones).

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

Adding to 113101022331 its reverse (133220101311), we get a palindrome (246321123642).

The spelling of 113101022331 in words is "one hundred thirteen billion, one hundred one million, twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 541 1623 4869 5951 14607 17853 53559 160677 703903 2111709 6335127 7742933 19005381 23228799 69686397 209059191 380811523 1142434569 3427303707 4188926753 10281911121 12566780259 37700340777 113101022331