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31312032120 = 23325101861167
BaseRepresentation
bin11101001010010101…
…111011000101111000
32222211012010001002100
4131022111323011320
51003111340011440
622215021303400
72155640611245
oct351225730570
988735101070
1031312032120
111230890a1a6
12609a404b60
132c50153875
1417307bc5cc
15c33de4230
hex74a57b178

31312032120 has 96 divisors (see below), whose sum is σ = 102771789120. Its totient is φ = 8267193600.

The previous prime is 31312032107. The next prime is 31312032137. The reversal of 31312032120 is 2123021313.

31312032120 is a `hidden beast` number, since 31 + 312 + 0 + 321 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31312032093 and 31312032102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394224 + ... + 466943.

It is an arithmetic number, because the mean of its divisors is an integer number (1070539470).

Almost surely, 231312032120 is an apocalyptic number.

31312032120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31312032120 is an abundant number, since it is smaller than the sum of its proper divisors (71459757000).

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

31312032120 is a wasteful number, since it uses less digits than its factorization.

31312032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861285 (or 861278 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31312032120 its reverse (2123021313), we get a palindrome (33435053433).

The spelling of 31312032120 in words is "thirty-one billion, three hundred twelve million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 861167 1722334 2583501 3444668 4305835 5167002 6889336 7750503 8611670 10334004 12917505 15501006 17223340 20668008 25835010 31002012 34446680 38752515 51670020 62004024 77505030 86977867 103340040 155010060 173955734 260933601 310020120 347911468 434889335 521867202 695822936 782800803 869778670 1043734404 1304668005 1565601606 1739557340 2087468808 2609336010 3131203212 3479114680 3914004015 5218672020 6262406424 7828008030 10437344040 15656016060 31312032120