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10442331102 = 23735219739
BaseRepresentation
bin10011011100110100…
…10101001111011110
3222221202002101022210
421232122111033132
5132341214043402
64444103221250
7516525231000
oct115632251736
928852071283
1010442331102
114479472a05
122035147826
13ca5530658
14710bc6370
15411b3406c
hex26e6953de

10442331102 has 64 divisors (see below), whose sum is σ = 24404544000. Its totient is φ = 2977490880.

The previous prime is 10442331101. The next prime is 10442331139. The reversal of 10442331102 is 20113324401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442331101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067349 + ... + 1077087.

It is an arithmetic number, because the mean of its divisors is an integer number (381321000).

Almost surely, 210442331102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442331102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202272000).

10442331102 is an abundant number, since it is smaller than the sum of its proper divisors (13962212898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10442331102 is an equidigital number, since it uses as much as digits as its factorization.

10442331102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10442331102 its reverse (20113324401), we get a palindrome (30555655503).

The spelling of 10442331102 in words is "ten billion, four hundred forty-two million, three hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 521 686 1029 1042 1563 2058 3126 3647 7294 9739 10941 19478 21882 25529 29217 51058 58434 68173 76587 136346 153174 178703 204519 357406 409038 477211 536109 954422 1072218 1431633 2863266 3340477 5074019 6680954 10021431 10148038 15222057 20042862 30444114 35518133 71036266 106554399 213108798 248626931 497253862 745880793 1491761586 1740388517 3480777034 5221165551 10442331102