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103380332950804 = 227136611889227459
BaseRepresentation
bin10111100000011000011100…
…000001011011010100010100
3111120001001201011010120010011
4113200120130001123110110
5102022240410213411204
61003512134101210004
730526661011141450
oct2740303401332424
9446031634116104
10103380332950804
112aa38397916088
12b717974400904
13458b9538a3460
141b758c5cd5660
15be425e00d304
hex5e061c05b514

103380332950804 has 96 divisors (see below), whose sum is σ = 223121227795200. Its totient is φ = 40814044508160.

The previous prime is 103380332950753. The next prime is 103380332950849. The reversal of 103380332950804 is 408059233083301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454387227 + ... + 454614685.

It is an arithmetic number, because the mean of its divisors is an integer number (2324179456200).

Almost surely, 2103380332950804 is an apocalyptic number.

103380332950804 is a gapful number since it is divisible by the number (14) 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 103380332950804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111560613897600).

103380332950804 is an abundant number, since it is smaller than the sum of its proper divisors (119740894844396).

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

103380332950804 is a wasteful number, since it uses less digits than its factorization.

103380332950804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230033 (or 230031 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 103380332950804 in words is "one hundred three trillion, three hundred eighty billion, three hundred thirty-two million, nine hundred fifty thousand, eight hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 661 1322 1889 2644 3778 4627 7556 8593 9254 13223 17186 18508 24557 26446 34372 49114 52892 60151 98228 120302 171899 227459 240604 343798 454918 687596 909836 1248629 1592213 2497258 2956967 3184426 4994516 5913934 6368852 8740403 11827868 16232177 17480806 20698769 32464354 34961612 41397538 64928708 82795076 113625239 150350399 227250478 300700798 429670051 454500956 601401596 859340102 1052452793 1718680204 1954555187 2104905586 3007690357 3909110374 4209811172 5585710663 6015380714 7818220748 11171421326 12030761428 13681886309 22342842652 27363772618 39099974641 54727545236 78199949282 156399898564 284011903711 568023807422 1136047614844 1988083325977 3692154748243 3976166651954 7384309496486 7952333303908 14768618992972 25845083237701 51690166475402 103380332950804