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10024432201 = 721153177433
BaseRepresentation
bin10010101011000000…
…01011001001001001
3221212121201220210201
421111200023021021
5131012223312301
64334414212201
7503262160600
oct112540131111
927777656721
1010024432201
114284592313
121b391b4061
13c39a930b4
146b14c2a37
153da0d7201
hex25580b249

10024432201 has 12 divisors (see below), whose sum is σ = 11671253652. Its totient is φ = 8584869888.

The previous prime is 10024432193. The next prime is 10024432219. The reversal of 10024432201 is 10223442001.

It can be written as a sum of positive squares in 2 ways, for example, as 3161138176 + 6863294025 = 56224^2 + 82845^2 .

It is not a de Polignac number, because 10024432201 - 23 = 10024432193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10024432241) 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 11 ways as a sum of consecutive naturals, for example, 32220 + ... + 145213.

It is an arithmetic number, because the mean of its divisors is an integer number (972604471).

Almost surely, 210024432201 is an apocalyptic number.

It is an amenable number.

10024432201 is a deficient number, since it is larger than the sum of its proper divisors (1646821451).

10024432201 is a wasteful number, since it uses less digits than its factorization.

10024432201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178600 (or 178593 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10024432201 its reverse (10223442001), we get a palindrome (20247874202).

It can be divided in two parts, 10024 and 432201, that added together give a square (442225 = 6652).

The spelling of 10024432201 in words is "ten billion, twenty-four million, four hundred thirty-two thousand, two hundred one".

Divisors: 1 7 49 1153 8071 56497 177433 1242031 8694217 204580249 1432061743 10024432201