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31920102420 = 22352323130509
BaseRepresentation
bin11101101110100101…
…100001110000010100
310001101120022012201120
4131232211201300110
51010333021234140
622355222323540
72210003252043
oct355645416024
9101346265646
1031920102420
11125a007a438
126229b895b0
13301911688b
14178b46655a
15c6c4a81d0
hex76e961c14

31920102420 has 48 divisors (see below), whose sum is σ = 93262216320. Its totient is φ = 8141938816.

The previous prime is 31920102419. The next prime is 31920102439. The reversal of 31920102420 is 2420102913.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11563875 + ... + 11566634.

It is an arithmetic number, because the mean of its divisors is an integer number (1942962840).

Almost surely, 231920102420 is an apocalyptic number.

31920102420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31920102420 is an abundant number, since it is smaller than the sum of its proper divisors (61342113900).

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

31920102420 is a wasteful number, since it uses less digits than its factorization.

31920102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23130544 (or 23130542 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 31920102420 in words is "thirty-one billion, nine hundred twenty million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 23130509 46261018 69391527 92522036 115652545 138783054 231305090 277566108 346957635 462610180 532001707 693915270 1064003414 1387830540 1596005121 2128006828 2660008535 3192010242 5320017070 6384020484 7980025605 10640034140 15960051210 31920102420