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10204240522421 = 1124124112177013
BaseRepresentation
bin1001010001111101110000…
…1000011010110010110101
31100010111221001210210111202
42110133130020122302311
52314141241033204141
633411432520142245
72102142410214401
oct224373410326265
940114831723452
1010204240522421
113284659829500
121189797607985
13590342b7095a
14273c60494101
1512a6807ed49b
hex947dc21acb5

10204240522421 has 48 divisors (see below), whose sum is σ = 11548600210224. Its totient is φ = 9004081152000.

The previous prime is 10204240522417. The next prime is 10204240522433. The reversal of 10204240522421 is 12422504240201.

10204240522421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21051108100 + 10183189414321 = 145090^2 + 3191111^2 .

It is not a de Polignac number, because 10204240522421 - 22 = 10204240522417 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204240522471) 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, 1455042911 + ... + 1455049923.

It is an arithmetic number, because the mean of its divisors is an integer number (240595837713).

Almost surely, 210204240522421 is an apocalyptic number.

10204240522421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10204240522421 is a deficient number, since it is larger than the sum of its proper divisors (1344359687803).

10204240522421 is a wasteful number, since it uses less digits than its factorization.

10204240522421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 10204240522421 its reverse (12422504240201), we get a palindrome (22626744762622).

The spelling of 10204240522421 in words is "ten trillion, two hundred four billion, two hundred forty million, five hundred twenty-two thousand, four hundred twenty-one".

Divisors: 1 11 41 121 241 451 1217 2651 4961 7013 9881 13387 29161 49897 77143 108691 147257 287533 293297 548867 848573 1195601 1690133 3162863 3226267 6037537 8534821 12025177 18591463 34791493 35488937 69295453 93883031 132276947 204506093 349927661 762249983 1032713341 1455046417 2056891861 3849204271 8384749813 22625810471 42341246981 84332566301 248883915181 927658229311 10204240522421