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3131121042 = 233743119219
BaseRepresentation
bin1011101010100001…
…0001110110010010
322002012202102121000
42322220101312102
522403031333132
61234410442430
7140410042530
oct27250216622
98065672530
103131121042
111367488645
12734733416
133ab90335a
14219bb9150
15134d4487c
hexbaa11d92

3131121042 has 64 divisors (see below), whose sum is σ = 7970918400. Its totient is φ = 892483920.

The previous prime is 3131121011. The next prime is 3131121043. The reversal of 3131121042 is 2401211313.

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

It is not an unprimeable number, because it can be changed into a prime (3131121043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153309 + ... + 172527.

It is an arithmetic number, because the mean of its divisors is an integer number (124545600).

Almost surely, 23131121042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131121042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985459200).

3131121042 is an abundant number, since it is smaller than the sum of its proper divisors (4839797358).

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

3131121042 is a wasteful number, since it uses less digits than its factorization.

3131121042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19668 (or 19662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3131121042 is about 55956.4209184254. The cubic root of 3131121042 is about 1462.9628084268.

Adding to 3131121042 its reverse (2401211313), we get a palindrome (5532332355).

The spelling of 3131121042 in words is "three billion, one hundred thirty-one million, one hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 431 862 1293 2586 3017 3879 6034 7758 9051 11637 18102 19219 23274 27153 38438 54306 57657 81459 115314 134533 162918 172971 269066 345942 403599 518913 807198 1037826 1210797 2421594 3632391 7264782 8283389 16566778 24850167 49700334 57983723 74550501 115967446 149101002 173951169 223651503 347902338 447303006 521853507 1043707014 1565560521 3131121042