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103069968705 = 325111910959061
BaseRepresentation
bin101111111111101110…
…0101110100101000001
3100212001010022220121100
41133333130232211001
53142041402444310
6115203311045013
710306112164404
oct1377734564501
9325033286540
10103069968705
113a791346020
1217b85b10769
139947851482
144dbaa7bd3b
152a339eeec0
hex17ff72e941

103069968705 has 48 divisors (see below), whose sum is σ = 205153640640. Its totient is φ = 47343139200.

The previous prime is 103069968697. The next prime is 103069968707. The reversal of 103069968705 is 507869960301.

It is not a de Polignac number, because 103069968705 - 23 = 103069968697 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103069968707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5470126 + ... + 5488935.

It is an arithmetic number, because the mean of its divisors is an integer number (4274034180).

Almost surely, 2103069968705 is an apocalyptic number.

103069968705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103069968705 is a deficient number, since it is larger than the sum of its proper divisors (102083671935).

103069968705 is a wasteful number, since it uses less digits than its factorization.

103069968705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959102 (or 10959099 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 103069968705 in words is "one hundred three billion, sixty-nine million, nine hundred sixty-eight thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 165 171 209 285 495 627 855 1045 1881 3135 9405 10959061 32877183 54795305 98631549 120549671 164385915 208222159 361649013 493157745 602748355 624666477 1041110795 1084947039 1808245065 1873999431 2290443749 3123332385 5424735195 6871331247 9369997155 11452218745 20613993741 34356656235 103069968705