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31131220200 = 2335259879413
BaseRepresentation
bin11100111111100100…
…001011100011101000
32222100120212211202120
4130333210023203220
51002224043021300
622145042031240
72151314001633
oct347744134350
988316784676
1031131220200
1112225842563
126049948520
132c21857272
141714792c1a
15c230ca3a0
hex73f90b8e8

31131220200 has 96 divisors (see below), whose sum is σ = 98142602400. Its totient is φ = 8160943360.

The previous prime is 31131220177. The next prime is 31131220229. The reversal of 31131220200 is 202213113.

It is a super-2 number, since 2×311312202002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31131220200.

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, 404307 + ... + 475106.

It is an arithmetic number, because the mean of its divisors is an integer number (1022318775).

Almost surely, 231131220200 is an apocalyptic number.

31131220200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31131220200 is an abundant number, since it is smaller than the sum of its proper divisors (67011382200).

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

31131220200 is a wasteful number, since it uses less digits than its factorization.

31131220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879491 (or 879482 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31131220200 its reverse (202213113), we get a palindrome (31333433313).

The spelling of 31131220200 in words is "thirty-one billion, one hundred thirty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 177 200 236 295 300 354 472 590 600 708 885 1180 1416 1475 1770 2360 2950 3540 4425 5900 7080 8850 11800 17700 35400 879413 1758826 2638239 3517652 4397065 5276478 7035304 8794130 10552956 13191195 17588260 21105912 21985325 26382390 35176520 43970650 51885367 52764780 65955975 87941300 103770734 105529560 131911950 155656101 175882600 207541468 259426835 263823900 311312202 415082936 518853670 527647800 622624404 778280505 1037707340 1245248808 1297134175 1556561010 2075414680 2594268350 3113122020 3891402525 5188536700 6226244040 7782805050 10377073400 15565610100 31131220200