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11523720801 = 341438924481
BaseRepresentation
bin10101011101101111…
…00000011001100001
31002202002220200010010
422232313200121201
5142100033031201
65143253155133
7555366003435
oct125667403141
932662820103
1011523720801
114983926aaa
12229732baa9
131118596608
147b467c9c5
15476a40bd6
hex2aede0661

11523720801 has 32 divisors (see below), whose sum is σ = 16287384960. Its totient is φ = 7238246400.

The previous prime is 11523720787. The next prime is 11523720821. The reversal of 11523720801 is 10802732511.

11523720801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11523720801 - 27 = 11523720673 is a prime.

It is a super-2 number, since 2×115237208012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11523720821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458481 + ... + 482961.

It is an arithmetic number, because the mean of its divisors is an integer number (508980780).

Almost surely, 211523720801 is an apocalyptic number.

It is an amenable number.

11523720801 is a deficient number, since it is larger than the sum of its proper divisors (4763664159).

11523720801 is a wasteful number, since it uses less digits than its factorization.

11523720801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24657.

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 11523720801 in words is "eleven billion, five hundred twenty-three million, seven hundred twenty thousand, eight hundred one".

Divisors: 1 3 41 43 89 123 129 267 1763 3649 3827 5289 10947 11481 24481 73443 156907 470721 1003721 1052683 2178809 3011163 3158049 6536427 43160003 89331169 93688787 129480009 267993507 281066361 3841240267 11523720801