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204020211000333 = 37213316435355991
BaseRepresentation
bin101110011000111000101000…
…001101000010010000001101
3222202101010211021212221210110
4232120320220031002100031
5203220131343004002313
62001525331355230233
760654655010066100
oct5630705015022015
9882333737787713
10204020211000333
115a00953834a682
121aa70597a48379
1389ac03c39b4c0
1438548b9292737
15188c079593ec3
hexb98e2834240d

204020211000333 has 96 divisors (see below), whose sum is σ = 352321095770112. Its totient is φ = 103981618339200.

The previous prime is 204020211000323. The next prime is 204020211000427. The reversal of 204020211000333 is 333000112020402.

It is not a de Polignac number, because 204020211000333 - 24 = 204020211000317 is a prime.

It is a super-2 number, since 2×2040202110003332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204020211000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35413968 + ... + 40769958.

It is an arithmetic number, because the mean of its divisors is an integer number (3670011414272).

Almost surely, 2204020211000333 is an apocalyptic number.

It is an amenable number.

204020211000333 is a deficient number, since it is larger than the sum of its proper divisors (148300884769779).

204020211000333 is a wasteful number, since it uses less digits than its factorization.

204020211000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356695 (or 5356688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 204020211000333 its reverse (333000112020402), we get a palindrome (537020323020735).

The spelling of 204020211000333 in words is "two hundred four trillion, twenty billion, two hundred eleven million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 403 637 643 651 1209 1519 1911 1929 2821 4501 4557 8359 8463 13503 19747 19933 25077 31507 58513 59241 59799 94521 139531 175539 259129 409591 418593 777387 976717 1228773 1813903 2930151 5355991 5441709 12697321 16067973 37491937 38091963 69627883 112475811 166035721 208883649 262443559 487395181 498107163 787330677 1162250047 1462185543 2158464373 3411766267 3443902213 3486750141 6475393119 8135750329 10235298801 10331706639 15109250611 24107315491 24407250987 44770728769 45327751833 72321946473 105764754277 106760968603 134312186307 168751208437 313395101383 317294262831 320282905809 506253625311 747326780221 940185304149 1387892591839 2193765709681 2241980340663 4163677775517 5231287461547 6581297129043 9715248142873 15693862384641 29145744428619 68006737000111 204020211000333