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103351508712 = 2334295499761
BaseRepresentation
bin110000001000000111…
…0101101111011101000
3100212202202002121220000
41200100032231323220
53143130441234322
6115251245303000
710316101220634
oct1402016557350
9325682077800
10103351508712
113a916261211
1218044264a60
139990c87aaa
145006207dc4
152a4d5b43ac
hex18103adee8

103351508712 has 80 divisors (see below), whose sum is σ = 299462040900. Its totient is φ = 33262548480.

The previous prime is 103351508699. The next prime is 103351508713. The reversal of 103351508712 is 217805153301.

It is a happy number.

103351508712 is a `hidden beast` number, since 1 + 0 + 33 + 51 + 508 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101701036836 + 1650471876 = 318906^2 + 40626^2 .

It is a super-2 number, since 2×1033515087122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103351508713) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2731089 + ... + 2768672.

Almost surely, 2103351508712 is an apocalyptic number.

103351508712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103351508712 is an abundant number, since it is smaller than the sum of its proper divisors (196110532188).

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

103351508712 is a wasteful number, since it uses less digits than its factorization.

103351508712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499808 (or 5499795 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 103351508712 in words is "one hundred three billion, three hundred fifty-one million, five hundred eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 5499761 10999522 16499283 21999044 32998566 43998088 49497849 65997132 98995698 131994264 148493547 159493069 197991396 296987094 318986138 395982792 445480641 478479207 593974188 637972276 890961282 956958414 1187948376 1275944552 1435437621 1781922564 1913916828 2870875242 3563845128 3827833656 4306312863 5741750484 8612625726 11483500968 12918938589 17225251452 25837877178 34450502904 51675754356 103351508712