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10042124221 = 31210449661
BaseRepresentation
bin10010101101000111…
…01010011110111101
3221220212000202200201
421112203222132331
5131031240433341
64340245323501
7503565435043
oct112643523675
927825022621
1010042124221
114293576618
121b43106591
13c40648b4c
146b39aa393
153db92e331
hex2568ea7bd

10042124221 has 6 divisors (see below), whose sum is σ = 10376514366. Its totient is φ = 9718183800.

The previous prime is 10042124171. The next prime is 10042124233. The reversal of 10042124221 is 12242124001.

It can be written as a sum of positive squares in only one way, i.e., 7566564196 + 2475560025 = 86986^2 + 49755^2 .

It is not a de Polignac number, because 10042124221 - 217 = 10041993149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042124021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5223870 + ... + 5225791.

It is an arithmetic number, because the mean of its divisors is an integer number (1729419061).

Almost surely, 210042124221 is an apocalyptic number.

It is an amenable number.

10042124221 is a deficient number, since it is larger than the sum of its proper divisors (334390145).

10042124221 is an equidigital number, since it uses as much as digits as its factorization.

10042124221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10449723 (or 10449692 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10042124221 its reverse (12242124001), we get a palindrome (22284248222).

The spelling of 10042124221 in words is "ten billion, forty-two million, one hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 31 961 10449661 323939491 10042124221