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103683307640 = 23511226478093
BaseRepresentation
bin110000010010000000…
…0011011100001111000
3100220121212102202110012
41200210000123201320
53144320411321030
6115344221041052
710330240400513
oct1404400334170
9326555382405
10103683307640
113aa76584700
12181173b6188
139a1493a613
1450382d7d7a
152a6c7a5095
hex182401b878

103683307640 has 96 divisors (see below), whose sum is σ = 256551956640. Its totient is φ = 37684120320.

The previous prime is 103683307633. The next prime is 103683307727. The reversal of 103683307640 is 46703386301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12807434 + ... + 12815526.

It is an arithmetic number, because the mean of its divisors is an integer number (2672416215).

Almost surely, 2103683307640 is an apocalyptic number.

103683307640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103683307640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128275978320).

103683307640 is an abundant number, since it is smaller than the sum of its proper divisors (152868649000).

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

103683307640 is a wasteful number, since it uses less digits than its factorization.

103683307640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 103683307640 in words is "one hundred three billion, six hundred eighty-three million, three hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 2647 4840 5294 8093 10588 13235 16186 21176 26470 29117 32372 40465 52940 58234 64744 80930 89023 105880 116468 145585 161860 178046 232936 291170 320287 323720 356092 445115 582340 640574 712184 890230 979253 1164680 1281148 1601435 1780460 1958506 2562296 3202870 3560920 3917012 4896265 6405740 7834024 9792530 12811480 19585060 21422171 39170120 42844342 85688684 107110855 171377368 214221710 235643881 428443420 471287762 856886840 942575524 1178219405 1885151048 2356438810 2592082691 4712877620 5184165382 9425755240 10368330764 12960413455 20736661528 25920826910 51841653820 103683307640