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10042432401 = 335375712527
BaseRepresentation
bin10010101101001001…
…10101101110010001
3221220212121102102210
421112210311232101
5131031330314101
64340300102333
7503601160401
oct112644655621
927825542383
1010042432401
114293767111
121b432349a9
13c407261c1
146b3a4a801
153db9907d6
hex256935b91

10042432401 has 16 divisors (see below), whose sum is σ = 13446653184. Its totient is φ = 6666637824.

The previous prime is 10042432399. The next prime is 10042432403. The reversal of 10042432401 is 10423424001.

10042432401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10042432399) and next prime (10042432403).

It is not a de Polignac number, because 10042432401 - 21 = 10042432399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042432403) 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 15 ways as a sum of consecutive naturals, for example, 795400 + ... + 807926.

It is an arithmetic number, because the mean of its divisors is an integer number (840415824).

Almost surely, 210042432401 is an apocalyptic number.

It is an amenable number.

10042432401 is a deficient number, since it is larger than the sum of its proper divisors (3404220783).

10042432401 is a wasteful number, since it uses less digits than its factorization.

10042432401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10042432401 its reverse (10423424001), we get a palindrome (20465856402).

The spelling of 10042432401 in words is "ten billion, forty-two million, four hundred thirty-two thousand, four hundred one".

Divisors: 1 3 353 757 1059 2271 12527 37581 267221 801663 4422031 9482939 13266093 28448817 3347477467 10042432401