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2001200111020 = 22511292571220497
BaseRepresentation
bin11101000111110000110…
…100100101110110101100
321002022110002001210210101
4131013300310211312230
5230241424212023040
64131201051320444
7264403414165015
oct35076064456654
97068402053711
102001200111020
11701782322a80
12283a19a50124
13116935097236
146cc0400c00c
15370c853b09a
hex1d1f0d25dac

2001200111020 has 96 divisors (see below), whose sum is σ = 4761113878080. Its totient is φ = 699881226240.

The previous prime is 2001200111011. The next prime is 2001200111041. The reversal of 2001200111020 is 201110021002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2001200110988 and 2001200111006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029412 + ... + 2249908.

It is an arithmetic number, because the mean of its divisors is an integer number (49594936230).

Almost surely, 22001200111020 is an apocalyptic number.

2001200111020 is a gapful number since it is divisible by the number (20) 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 2001200111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380556939040).

2001200111020 is an abundant number, since it is smaller than the sum of its proper divisors (2759913767060).

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

2001200111020 is a wasteful number, since it uses less digits than its factorization.

2001200111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220803 (or 1220801 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001200111020 its reverse (201110021002), we get a palindrome (2202310132022).

The spelling of 2001200111020 in words is "two trillion, one billion, two hundred million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 257 290 319 514 580 638 1028 1276 1285 1595 2570 2827 3190 5140 5654 6380 7453 11308 14135 14906 28270 29812 37265 56540 74530 81983 149060 163966 327932 409915 819830 1220497 1639660 2440994 4881988 6102485 12204970 13425467 24409940 26850934 35394413 53701868 67127335 70788826 134254670 141577652 176972065 268509340 313667729 353944130 389338543 627335458 707888260 778677086 1254670916 1557354172 1568338645 1946692715 3136677290 3450345019 3893385430 6273354580 6900690038 7786770860 9096364141 13801380076 17251725095 18192728282 34503450190 36385456564 45481820705 69006900380 90963641410 100060005551 181927282820 200120011102 400240022204 500300027755 1000600055510 2001200111020