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3131131122 = 232724850247
BaseRepresentation
bin1011101010100001…
…0100010011110010
322002012202221102100
42322220110103302
522403032143442
61234411001230
7140410114110
oct27250242362
98065687370
103131131122
111367495179
12734739216
133ab907b12
14219bbcab0
15134d4784c
hexbaa144f2

3131131122 has 24 divisors (see below), whose sum is σ = 7753277376. Its totient is φ = 894608856.

The previous prime is 3131131103. The next prime is 3131131139. The reversal of 3131131122 is 2211311313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3131131095 and 3131131104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12424998 + ... + 12425249.

It is an arithmetic number, because the mean of its divisors is an integer number (323053224).

Almost surely, 23131131122 is an apocalyptic number.

3131131122 is an abundant number, since it is smaller than the sum of its proper divisors (4622146254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3131131122 is a wasteful number, since it uses less digits than its factorization.

3131131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24850262 (or 24850259 counting only the distinct ones).

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

The square root of 3131131122 is about 55956.5109884453. The cubic root of 3131131122 is about 1462.9643783277.

Adding to 3131131122 its reverse (2211311313), we get a palindrome (5342442435).

It can be divided in two parts, 3131131 and 122, that added together give a triangular number (3131253 = T2502).

The spelling of 3131131122 in words is "three billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 24850247 49700494 74550741 149101482 173951729 223652223 347903458 447304446 521855187 1043710374 1565565561 3131131122