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2003121093820 = 2257115922046237
BaseRepresentation
bin11101001001100011010…
…100100011110010111100
321002111101221201211210111
4131021203110203302330
5230304343000000240
64132115432515404
7264502131235660
oct35114324436274
97074357654714
102003121093820
117025786aa870
1228427524bb64
13116b80066652
146cd471b88a0
153718bee11ea
hex1d263523cbc

2003121093820 has 96 divisors (see below), whose sum is σ = 5333425896960. Its totient is φ = 613767210240.

The previous prime is 2003121093793. The next prime is 2003121093821. The reversal of 2003121093820 is 283901213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003121093821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10932259 + ... + 11113978.

It is an arithmetic number, because the mean of its divisors is an integer number (55556519760).

Almost surely, 22003121093820 is an apocalyptic number.

2003121093820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003121093820 is an abundant number, since it is smaller than the sum of its proper divisors (3330304803140).

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

2003121093820 is a wasteful number, since it uses less digits than its factorization.

2003121093820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22046323 (or 22046321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 2003121093820 in words is "two trillion, three billion, one hundred twenty-one million, ninety-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 220 236 295 308 385 413 590 649 770 826 1180 1298 1540 1652 2065 2596 3245 4130 4543 6490 8260 9086 12980 18172 22715 45430 90860 22046237 44092474 88184948 110231185 154323659 220462370 242508607 308647318 440924740 485017214 617294636 771618295 970034428 1212543035 1300727983 1543236590 1697560249 2425086070 2601455966 3086473180 3395120498 4850172140 5202911932 6503639915 6790240996 8487801245 9105095881 13007279830 14308007813 16975602490 18210191762 26014559660 28616015626 33951204980 36420383524 45525479405 57232031252 71540039065 91050958810 100156054691 143080078130 182101917620 200312109382 286160156260 400624218764 500780273455 1001560546910 2003121093820