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3131112020 = 2251729317557
BaseRepresentation
bin1011101010100000…
…1111101001010100
322002012201222012212
42322220033221110
522403031041040
61234410332552
7140410004321
oct27250175124
98065658185
103131112020
111367481893
1273472a158
133ab8cc20a
14219bb5b48
15134d41d65
hexbaa0fa54

3131112020 has 48 divisors (see below), whose sum is σ = 7202215440. Its totient is φ = 1138120704.

The previous prime is 3131111987. The next prime is 3131112041. The reversal of 3131112020 is 202111313.

3131112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10995856 + 3120116164 = 3316^2 + 55858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3131111986 and 3131112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148919 + ... + 168638.

It is an arithmetic number, because the mean of its divisors is an integer number (150046155).

Almost surely, 23131112020 is an apocalyptic number.

It is an amenable number.

3131112020 is an abundant number, since it is smaller than the sum of its proper divisors (4071103420).

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

3131112020 is a wasteful number, since it uses less digits than its factorization.

3131112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317612 (or 317610 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 3131112020 is about 55956.3403020605. The cubic root of 3131112020 is about 1462.9614033004.

Adding to 3131112020 its reverse (202111313), we get a palindrome (3333223333).

The spelling of 3131112020 in words is "three billion, one hundred thirty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 317557 635114 1270228 1587785 3175570 5398469 6351140 9209153 10796938 18418306 21593876 26992345 36836612 46045765 53984690 92091530 107969380 156555601 184183060 313111202 626222404 782778005 1565556010 3131112020