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221221432230201 = 3213107151117025529
BaseRepresentation
bin110010010011001100100000…
…111000101000000100111001
31002000021120011222022202221100
4302103030200320220010321
5212443442443122331301
62102255420055202013
764411502214106554
oct6223144070500471
91060246158282840
10221221432230201
1164540534299217
122098a242076309
139659126189b20
143c8b26299369b
151a8972548b286
hexc93320e28139

221221432230201 has 48 divisors (see below), whose sum is σ = 349638580287360. Its totient is φ = 133970824454400.

The previous prime is 221221432230179. The next prime is 221221432230299. The reversal of 221221432230201 is 102032234122122.

221221432230201 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 1 + 432 + 23 + 0 + 201 = 666.

It is not a de Polignac number, because 221221432230201 - 219 = 221221431705913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221221432235201) 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 47 ways as a sum of consecutive naturals, for example, 56622396 + ... + 60403133.

It is an arithmetic number, because the mean of its divisors is an integer number (7284137089320).

Almost surely, 2221221432230201 is an apocalyptic number.

It is an amenable number.

221221432230201 is a deficient number, since it is larger than the sum of its proper divisors (128417148057159).

221221432230201 is a wasteful number, since it uses less digits than its factorization.

221221432230201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117025806 (or 117025803 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221221432230201 its reverse (102032234122122), we get a palindrome (323253666352323).

The spelling of 221221432230201 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, four hundred thirty-two million, two hundred thirty thousand, two hundred one".

Divisors: 1 3 9 13 39 107 117 151 321 453 963 1359 1391 1963 4173 5889 12519 16157 17667 48471 145413 210041 630123 1890369 117025529 351076587 1053229761 1521331877 4563995631 12521731603 13691986893 17670854879 37565194809 53012564637 112695584427 159037693911 162782510839 229721113427 488347532517 689163340281 1465042597551 1890781472053 2067490020843 5672344416159 17017033248477 24580159136689 73740477410067 221221432230201