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31244157120 = 2635112958727
BaseRepresentation
bin11101000110010011…
…000000000011000000
32222122110101122002110
4131012103000003000
51002442001011440
622204154415320
72154154645041
oct350623000300
988573348073
1031244157120
111228356a760
12607b731540
132c3c07a347
1417257908c8
15c2ce88080
hex7464c00c0

31244157120 has 112 divisors (see below), whose sum is σ = 108218435328. Its totient is φ = 7574338560.

The previous prime is 31244157089. The next prime is 31244157143. The reversal of 31244157120 is 2175144213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468804 + ... + 1489923.

Almost surely, 231244157120 is an apocalyptic number.

31244157120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31244157120 is an abundant number, since it is smaller than the sum of its proper divisors (76974278208).

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

31244157120 is a wasteful number, since it uses less digits than its factorization.

31244157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958758 (or 2958748 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 31244157120 in words is "thirty-one billion, two hundred forty-four million, one hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 2958727 5917454 8876181 11834908 14793635 17752362 23669816 29587270 32545997 35504724 44380905 47339632 59174540 65091994 71009448 88761810 94679264 97637991 118349080 130183988 142018896 162729985 177523620 189358528 195275982 236698160 260367976 284037792 325459970 355047240 390551964 473396320 488189955 520735952 568075584 650919940 710094480 781103928 946792640 976379910 1041471904 1301839880 1420188960 1562207856 1952759820 2082943808 2603679760 2840377920 3124415712 3905519640 5207359520 6248831424 7811039280 10414719040 15622078560 31244157120