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3131014140 = 22325101172223
BaseRepresentation
bin1011101010011111…
…0111101111111100
322002012112222221200
42322213313233330
522403014423030
61234404255500
7140406116052
oct27247675774
98065488850
103131014140
1113674152a1
127346a1590
133ab8967b7
14219b8c1d2
15134d22d60
hexba9f7bfc

3131014140 has 72 divisors (see below), whose sum is σ = 9591499008. Its totient is φ = 826665600.

The previous prime is 3131014097. The next prime is 3131014141. The reversal of 3131014140 is 414101313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131014141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67932 + ... + 104291.

It is an arithmetic number, because the mean of its divisors is an integer number (133215264).

Almost surely, 23131014140 is an apocalyptic number.

3131014140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131014140 is an abundant number, since it is smaller than the sum of its proper divisors (6460484868).

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

3131014140 is a wasteful number, since it uses less digits than its factorization.

3131014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172339 (or 172334 counting only the distinct ones).

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

The square root of 3131014140 is about 55955.4656847747. The cubic root of 3131014140 is about 1462.9461588597.

Adding to 3131014140 its reverse (414101313), we get a palindrome (3545115453).

The spelling of 3131014140 in words is "three billion, one hundred thirty-one million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 172223 344446 516669 688892 861115 1033338 1550007 1722230 2066676 2583345 3100014 3444460 5166690 6200028 7750035 10333380 15500070 17394523 31000140 34789046 52183569 69578092 86972615 104367138 156550707 173945230 208734276 260917845 313101414 347890460 521835690 626202828 782753535 1043671380 1565507070 3131014140