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203311002120 = 233543139283463
BaseRepresentation
bin1011110101011001000…
…1111011001000001000
3201102210002112000112120
42331112101323020020
511312340104031440
6233222204211240
720455144001262
oct2752621731010
9642702460476
10203311002120
1179250840096
12334a0539b20
1316231284225
149ba9b22b32
15544de9bdd0
hex2f5647b208

203311002120 has 128 divisors (see below), whose sum is σ = 628609766400. Its totient is φ = 52574264064.

The previous prime is 203311002107. The next prime is 203311002157. The reversal of 203311002120 is 21200113302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203311002120.

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, 575509 + ... + 858971.

It is an arithmetic number, because the mean of its divisors is an integer number (4911013800).

Almost surely, 2203311002120 is an apocalyptic number.

203311002120 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 203311002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314304883200).

203311002120 is an abundant number, since it is smaller than the sum of its proper divisors (425298764280).

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

203311002120 is a wasteful number, since it uses less digits than its factorization.

203311002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283659 (or 283655 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 203311002120 its reverse (21200113302), we get a palindrome (224511115422).

The spelling of 203311002120 in words is "two hundred three billion, three hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 139 172 215 258 278 344 417 430 516 556 645 695 834 860 1032 1112 1290 1390 1668 1720 2085 2580 2780 3336 4170 5160 5560 5977 8340 11954 16680 17931 23908 29885 35862 47816 59770 71724 89655 119540 143448 179310 239080 283463 358620 566926 717240 850389 1133852 1417315 1700778 2267704 2834630 3401556 4251945 5669260 6803112 8503890 11338520 12188909 17007780 24377818 34015560 36566727 39401357 48755636 60944545 73133454 78802714 97511272 118204071 121889090 146266908 157605428 182833635 197006785 236408142 243778180 292533816 315210856 365667270 394013570 472816284 487556360 591020355 731334540 788027140 945632568 1182040710 1462669080 1576054280 1694258351 2364081420 3388516702 4728162840 5082775053 6777033404 8471291755 10165550106 13554066808 16942583510 20331100212 25413875265 33885167020 40662200424 50827750530 67770334040 101655501060 203311002120