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10042142801 = 711573792377
BaseRepresentation
bin10010101101000111…
…01111000001010001
3221220212001201011212
421112203233001101
5131031242032201
64340245545505
7503565543155
oct112643570121
927825051155
1010042142801
114293589579
121b43115295
13c40654442
146b39b3065
153db934abb
hex2568ef051

10042142801 has 16 divisors (see below), whose sum is σ = 10279808640. Its totient is φ = 9807557760.

The previous prime is 10042142797. The next prime is 10042142837. The reversal of 10042142801 is 10824124001.

It is a cyclic number.

It is not a de Polignac number, because 10042142801 - 22 = 10042142797 is a prime.

It is a super-2 number, since 2×100421428012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042142101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4223525 + ... + 4225901.

It is an arithmetic number, because the mean of its divisors is an integer number (642488040).

Almost surely, 210042142801 is an apocalyptic number.

It is an amenable number.

10042142801 is a deficient number, since it is larger than the sum of its proper divisors (237665839).

10042142801 is a wasteful number, since it uses less digits than its factorization.

10042142801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 10042142801 its reverse (10824124001), we get a palindrome (20866266802).

The spelling of 10042142801 in words is "ten billion, forty-two million, one hundred forty-two thousand, eight hundred one".

Divisors: 1 71 157 379 2377 11147 26909 59503 168767 373189 900883 4224713 26496419 63962693 141438631 10042142801