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204542051201001 = 33371819291217651
BaseRepresentation
bin101110100000011110101000…
…010011011010111111101001
3222211020000210020021211001000
4232200132220103122333221
5203302204110101413001
62003005153205545213
761040450464442043
oct5640365023327751
9884200706254030
10204542051201001
115a19a884559098
121ab35753115209
138a1930421ac27
143871c60d3aa93
15189a91c78ca86
hexba07a84dafe9

204542051201001 has 64 divisors (see below), whose sum is σ = 313271661830400. Its totient is φ = 131800773888000.

The previous prime is 204542051200997. The next prime is 204542051201021. The reversal of 204542051201001 is 100102150245402.

It is a happy number.

204542051201001 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 42 + 0 + 512 + 0 + 100 + 1 = 666.

It is not a de Polignac number, because 204542051201001 - 22 = 204542051200997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (204542051201021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167372026 + ... + 168589676.

It is an arithmetic number, because the mean of its divisors is an integer number (4894869716100).

Almost surely, 2204542051201001 is an apocalyptic number.

It is an amenable number.

204542051201001 is a deficient number, since it is larger than the sum of its proper divisors (108729610629399).

204542051201001 is a wasteful number, since it uses less digits than its factorization.

204542051201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218807 (or 1218801 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 204542051201001 in words is "two hundred four trillion, five hundred forty-two billion, fifty-one million, two hundred one thousand, one".

Divisors: 1 3 9 27 37 111 181 333 543 929 999 1629 2787 4887 6697 8361 20091 25083 34373 60273 103119 168149 180819 309357 504447 928071 1217651 1513341 3652953 4540023 6221513 10958859 18664539 32876577 45053087 55993617 135159261 167980851 220394831 405477783 661184493 1131197779 1216433349 1983553479 3393593337 5950660437 8154608747 10180780011 24463826241 30542340033 41854317823 73391478723 125562953469 204746797999 220174436169 376688860407 614240393997 1130066581221 1842721181991 5528163545973 7575631525963 22726894577889 68180683733667 204542051201001