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203112520215220 = 225721139894723391
BaseRepresentation
bin101110001011101011010001…
…100111011110101010110100
3222122011100220202112111202001
4232023223101213132222310
5203110243420133341340
61555552334215425044
760532252411524400
oct5613532147365264
9878140822474661
10203112520215220
1159799599590130
121a944698085184
138944575475495
1438229ac6d4100
151873651c9b29a
hexb8bad19deab4

203112520215220 has 144 divisors (see below), whose sum is σ = 541417485450240. Its totient is φ = 63291914515200.

The previous prime is 203112520215197. The next prime is 203112520215229. The reversal of 203112520215220 is 22512025211302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203112520215229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40639725 + ... + 45363115.

It is an arithmetic number, because the mean of its divisors is an integer number (3759843648960).

Almost surely, 2203112520215220 is an apocalyptic number.

203112520215220 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 203112520215220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270708742725120).

203112520215220 is an abundant number, since it is smaller than the sum of its proper divisors (338304965235020).

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

203112520215220 is a wasteful number, since it uses less digits than its factorization.

203112520215220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727414 (or 4727405 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 203112520215220 its reverse (22512025211302), we get a palindrome (225624545426522).

The spelling of 203112520215220 in words is "two hundred three trillion, one hundred twelve billion, five hundred twenty million, two hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 3989 5390 7978 10780 15956 19945 27923 39890 43879 55846 79780 87758 111692 139615 175516 195461 219395 279230 307153 390922 438790 558460 614306 781844 877580 977305 1228612 1535765 1954610 2150071 3071530 3909220 4300142 4723391 6143060 8600284 9446782 10750355 18893564 21500710 23616955 33063737 43001420 47233910 51957301 66127474 94467820 103914602 132254948 165318685 207829204 231446159 259786505 330637370 363701107 462892318 519573010 661274740 727402214 925784636 1039146020 1157230795 1454804428 1818505535 2314461590 2545907749 3637011070 4628923180 5091815498 7274022140 10183630996 12729538745 18841606699 25459077490 37683213398 50918154980 75366426796 94208033495 131891246893 188416066990 207257673689 263782493786 376832133980 414515347378 527564987572 659456234465 829030694756 923238728251 1036288368445 1318912468930 1450803715823 1846477456502 2072576736890 2637824937860 2901607431646 3692954913004 4145153473780 4616193641255 5803214863292 7254018579115 9232387282510 10155626010761 14508037158230 18464774565020 20311252021522 29016074316460 40622504043044 50778130053805 101556260107610 203112520215220