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103122202013220 = 223513881150065779
BaseRepresentation
bin10111011100101000000010…
…001110000010111000100100
3111112010101102120020021111110
4113130220002032002320210
5102004023232203410340
61003153404031305020
730502222204314345
oct2734500216027044
9445111376207443
10103122202013220
112a948975712105
12b69593497b170
1345704c7117cc0
141b671d96940cc
15bdc6a2482680
hex5dca02382e24

103122202013220 has 96 divisors (see below), whose sum is σ = 311306058241920. Its totient is φ = 25355113850880.

The previous prime is 103122202013209. The next prime is 103122202013267. The reversal of 103122202013220 is 22310202221301.

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, 74345710 + ... + 75720069.

It is an arithmetic number, because the mean of its divisors is an integer number (3242771440020).

Almost surely, 2103122202013220 is an apocalyptic number.

103122202013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122202013220 is an abundant number, since it is smaller than the sum of its proper divisors (208183856228700).

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

103122202013220 is a wasteful number, since it uses less digits than its factorization.

103122202013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150066685 (or 150066683 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103122202013220 its reverse (22310202221301), we get a palindrome (125432404234521).

The spelling of 103122202013220 in words is "one hundred three trillion, one hundred twenty-two billion, two hundred two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 881 1762 2643 3524 4405 5286 8810 10572 11453 13215 17620 22906 26430 34359 45812 52860 57265 68718 114530 137436 171795 229060 343590 687180 150065779 300131558 450197337 600263116 750328895 900394674 1500657790 1800789348 1950855127 2250986685 3001315580 3901710254 4501973370 5852565381 7803420508 9003946740 9754275635 11705130762 19508551270 23410261524 29262826905 39017102540 58525653810 117051307620 132207951299 264415902598 396623853897 528831805196 661039756495 793247707794 1322079512990 1586495415588 1718703366887 1983119269485 2644159025980 3437406733774 3966238538970 5156110100661 6874813467548 7932477077940 8593516834435 10312220201322 17187033668870 20624440402644 25780550503305 34374067337740 51561101006610 103122202013220