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204041212403320 = 235471511183139229
BaseRepresentation
bin101110011001001100001011…
…111111000001111001111000
3222202110011000220201202200201
4232121030023333001321320
5203221002400333401240
62001543123340211544
760656330312056165
oct5631141377017170
9882404026652621
10204041212403320
115a017435070576
121aa74679239bb4
1389b1008384a86
14385590c56d06c
15188c8a81bbd9a
hexb9930bfc1e78

204041212403320 has 128 divisors (see below), whose sum is σ = 469439160422400. Its totient is φ = 79781467046400.

The previous prime is 204041212403293. The next prime is 204041212403321. The reversal of 204041212403320 is 23304212140402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204041212403321) 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, 5201265466 + ... + 5201304694.

It is an arithmetic number, because the mean of its divisors is an integer number (3667493440800).

Almost surely, 2204041212403320 is an apocalyptic number.

204041212403320 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 204041212403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234719580211200).

204041212403320 is an abundant number, since it is smaller than the sum of its proper divisors (265397948019080).

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

204041212403320 is a wasteful number, since it uses less digits than its factorization.

204041212403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42629 (or 42625 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204041212403320 its reverse (23304212140402), we get a palindrome (227345424543722).

The spelling of 204041212403320 in words is "two hundred four trillion, forty-one billion, two hundred twelve million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1511 1831 1880 3022 3662 6044 7324 7555 9155 12088 14648 15110 18310 30220 36620 39229 60440 71017 73240 78458 86057 142034 156916 172114 196145 284068 313832 344228 355085 392290 430285 568136 688456 710170 784580 860570 1420340 1569160 1721140 1843763 2766641 2840680 3442280 3687526 5533282 7375052 9218815 11066564 13833205 14750104 18437630 22133128 27666410 36875260 55332820 59275019 71828299 73750520 110665640 118550038 130032127 143656598 237100076 260064254 287313196 296375095 359141495 474200152 520128508 574626392 592750190 650160635 718282990 1040257016 1185500380 1300321270 1436565980 2371000760 2600642540 2785925893 2873131960 3375930053 5201285080 5571851786 6751860106 11143703572 13503720212 13929629465 16879650265 22287407144 27007440424 27859258930 33759300530 55718517860 67518601060 108532559789 111437035720 135037202120 217065119578 434130239156 542662798945 868260478312 1085325597890 2170651195780 4341302391560 5101030310083 10202060620166 20404121240332 25505151550415 40808242480664 51010303100830 102020606201660 204041212403320