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3131012100 = 2235253196919
BaseRepresentation
bin1011101010011111…
…0111010000000100
322002012112220011010
42322213313100010
522403014341400
61234404242220
7140406110106
oct27247672004
98065486133
103131012100
111367413807
127346a0370
133ab8958a8
14219b8b576
15134d22450
hexba9f7404

3131012100 has 72 divisors (see below), whose sum is σ = 9230034240. Its totient is φ = 819178880.

The previous prime is 3131012089. The next prime is 3131012117. The reversal of 3131012100 is 12101313.

3131012100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82560 + ... + 114359.

It is an arithmetic number, because the mean of its divisors is an integer number (128194920).

Almost surely, 23131012100 is an apocalyptic number.

3131012100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131012100 is an abundant number, since it is smaller than the sum of its proper divisors (6099022140).

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

3131012100 is a wasteful number, since it uses less digits than its factorization.

3131012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196989 (or 196982 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3131012100 is about 55955.4474559895. The cubic root of 3131012100 is about 1462.9458411340.

Adding to 3131012100 its reverse (12101313), we get a palindrome (3143113413).

The spelling of 3131012100 in words is "three billion, one hundred thirty-one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 196919 393838 590757 787676 984595 1181514 1969190 2363028 2953785 3938380 4922975 5907570 9845950 10436707 11815140 14768925 19691900 20873414 29537850 31310121 41746828 52183535 59075700 62620242 104367070 125240484 156550605 208734140 260917675 313101210 521835350 626202420 782753025 1043670700 1565506050 3131012100