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10024440201 = 341760112113
BaseRepresentation
bin10010101011000000…
…01101000110001001
3221212121202022210000
421111200031012021
5131012224041301
64334414313213
7503262223116
oct112540150611
927777668700
1010024440201
114284598326
121b391b8809
13c39a96929
146b14c590d
153da0d9786
hex25580d189

10024440201 has 40 divisors (see below), whose sum is σ = 15883343784. Its totient is φ = 6278860800.

The previous prime is 10024440197. The next prime is 10024440203. The reversal of 10024440201 is 10204442001.

10024440201 is a `hidden beast` number, since 1 + 0 + 0 + 24 + 440 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3463440201 + 6561000000 = 58851^2 + 81000^2 .

It is not a de Polignac number, because 10024440201 - 22 = 10024440197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10024440203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 821521 + ... + 833633.

Almost surely, 210024440201 is an apocalyptic number.

It is an amenable number.

10024440201 is a deficient number, since it is larger than the sum of its proper divisors (5858903583).

10024440201 is a wasteful number, since it uses less digits than its factorization.

10024440201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12743 (or 12734 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10024440201 its reverse (10204442001), we get a palindrome (20228882202).

The spelling of 10024440201 in words is "ten billion, twenty-four million, four hundred forty thousand, two hundred one".

Divisors: 1 3 9 17 27 51 81 153 459 601 1377 1803 5409 10217 12113 16227 30651 36339 48681 91953 109017 205921 275859 327051 617763 827577 981153 1853289 5559867 7279913 16679601 21839739 65519217 123758521 196557651 371275563 589672953 1113826689 3341480067 10024440201