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120314011104 = 2532759679569
BaseRepresentation
bin111000000001101000…
…1100001110111100000
3102111112220001000202100
41300003101201313200
53432400341323404
6131134350450400
711456331135450
oct1600321416740
9374486030670
10120314011104
1147030139331
121b398b03a00
13b46527c661
145b74d25d60
1531e2830d39
hex1c03461de0

120314011104 has 72 divisors (see below), whose sum is σ = 391020542640. Its totient is φ = 34375431168.

The previous prime is 120314011091. The next prime is 120314011159. The reversal of 120314011104 is 401110413021.

120314011104 is a `hidden beast` number, since 120 + 31 + 401 + 110 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1203140111042 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29837769 + ... + 29841800.

It is an arithmetic number, because the mean of its divisors is an integer number (5430840870).

Almost surely, 2120314011104 is an apocalyptic number.

120314011104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120314011104 is an abundant number, since it is smaller than the sum of its proper divisors (270706531536).

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

120314011104 is a wasteful number, since it uses less digits than its factorization.

120314011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59679592 (or 59679581 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120314011104 its reverse (401110413021), we get a palindrome (521424424125).

The spelling of 120314011104 in words is "one hundred twenty billion, three hundred fourteen million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 59679569 119359138 179038707 238718276 358077414 417756983 477436552 537116121 716154828 835513966 954873104 1074232242 1253270949 1432309656 1671027932 1909746208 2148464484 2506541898 2864619312 3342055864 3759812847 4296928968 5013083796 5729238624 6684111728 7519625694 8593857936 10026167592 13368223456 15039251388 17187715872 20052335184 30078502776 40104670368 60157005552 120314011104