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10321010442 = 23541517967
BaseRepresentation
bin10011001110010111…
…00001111100001010
3222122021210122200000
421213023201330022
5132114134313232
64424051023430
7513523066311
oct114713417412
928567718600
1010321010442
114416a399a6
12200059ab76
13c86363592
146dca45278
1540616c27c
hex2672e1f0a

10321010442 has 48 divisors (see below), whose sum is σ = 23756084352. Its totient is φ = 3356419680.

The previous prime is 10321010429. The next prime is 10321010443. The reversal of 10321010442 is 24401012301.

10321010442 is a `hidden beast` number, since 1 + 0 + 3 + 210 + 10 + 442 = 666.

10321010442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10321010443) 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 23 ways as a sum of consecutive naturals, for example, 239058 + ... + 278909.

It is an arithmetic number, because the mean of its divisors is an integer number (494918424).

Almost surely, 210321010442 is an apocalyptic number.

10321010442 is an abundant number, since it is smaller than the sum of its proper divisors (13435073910).

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

10321010442 is an equidigital number, since it uses as much as digits as its factorization.

10321010442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518025 (or 518013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10321010442 its reverse (24401012301), we get a palindrome (34722022743).

The spelling of 10321010442 in words is "ten billion, three hundred twenty-one million, ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 738 1107 2214 3321 6642 9963 19926 517967 1035934 1553901 3107802 4661703 9323406 13985109 21236647 27970218 41955327 42473294 63709941 83910654 125865981 127419882 191129823 251731962 382259646 573389469 1146778938 1720168407 3440336814 5160505221 10321010442