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3131131400 = 235217920921
BaseRepresentation
bin1011101010100001…
…0100011000001000
322002012202221210122
42322220110120020
522403032201100
61234411002412
7140410114655
oct27250243010
98065687718
103131131400
111367495401
12734739408
133ab907c97
14219bbcc2c
15134d47985
hexbaa14608

3131131400 has 48 divisors (see below), whose sum is σ = 7708117140. Its totient is φ = 1178777600.

The previous prime is 3131131379. The next prime is 3131131459. The reversal of 3131131400 is 41311313.

It can be written as a sum of positive squares in 6 ways, for example, as 703204324 + 2427927076 = 26518^2 + 49274^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 457061 + ... + 463860.

Almost surely, 23131131400 is an apocalyptic number.

It is an amenable number.

3131131400 is an abundant number, since it is smaller than the sum of its proper divisors (4576985740).

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

3131131400 is a wasteful number, since it uses less digits than its factorization.

3131131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920954 (or 920945 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3131131400 is about 55956.5134725172. The cubic root of 3131131400 is about 1462.9644216246.

Adding to 3131131400 its reverse (41311313), we get a palindrome (3172442713).

The spelling of 3131131400 in words is "three billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 920921 1841842 3683684 4604605 7367368 9209210 15655657 18418420 23023025 31311314 36836840 46046050 62622628 78278285 92092100 125245256 156556570 184184200 313113140 391391425 626226280 782782850 1565565700 3131131400