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31242414320200 = 23521925132755729
BaseRepresentation
bin1110001101010001100010…
…00000011110101001001000
311002121202010120102120122201
413012220301000132221020
513043333431031221300
6150240322245525544
76403122103021366
oct706506100365110
9132552116376581
1031242414320200
119a55919439736
123606ba54138b4
1314581bb03a235
147a01d898c636
15392a4840066a
hex1c6a3101ea48

31242414320200 has 96 divisors (see below), whose sum is σ = 76766328828000. Its totient is φ = 11792062080000.

The previous prime is 31242414320197. The next prime is 31242414320209. The reversal of 31242414320200 is 202341424213.

It is not an unprimeable number, because it can be changed into a prime (31242414320209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15424065 + ... + 17331664.

It is an arithmetic number, because the mean of its divisors is an integer number (799649258625).

Almost surely, 231242414320200 is an apocalyptic number.

It is an amenable number.

31242414320200 is an abundant number, since it is smaller than the sum of its proper divisors (45523914507800).

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

31242414320200 is a wasteful number, since it uses less digits than its factorization.

31242414320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32756015 (or 32756006 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31242414320200 its reverse (202341424213), we get a palindrome (31444755744413).

The spelling of 31242414320200 in words is "thirty-one trillion, two hundred forty-two billion, four hundred fourteen million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 251 380 475 502 760 950 1004 1255 1900 2008 2510 3800 4769 5020 6275 9538 10040 12550 19076 23845 25100 38152 47690 50200 95380 119225 190760 238450 476900 953800 32755729 65511458 131022916 163778645 262045832 327557290 622358851 655114580 818893225 1244717702 1310229160 1637786450 2489435404 3111794255 3275572900 4978870808 6223588510 6551145800 8221687979 12447177020 15558971275 16443375958 24894354040 31117942550 32886751916 41108439895 62235885100 65773503832 82216879790 124471770200 156212071601 164433759580 205542199475 312424143202 328867519160 411084398950 624848286404 781060358005 822168797900 1249696572808 1562120716010 1644337595800 3124241432020 3905301790025 6248482864040 7810603580050 15621207160100 31242414320200