Search a number
-
+
10105025322 = 2371912662939
BaseRepresentation
bin10010110100100111…
…00111001100101010
3222002020101110210010
421122103213030222
5131143341302242
64350413432350
7505261204140
oct113223471452
928066343703
1010105025322
1143160290a7
121b6019b6b6
13c506a0432
146bc0a1590
153e220689c
hex25a4e732a

10105025322 has 32 divisors (see below), whose sum is σ = 24312844800. Its totient is φ = 2735194608.

The previous prime is 10105025311. The next prime is 10105025351. The reversal of 10105025322 is 22352050101.

10105025322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101050253222 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 6330672 + ... + 6332267.

It is an arithmetic number, because the mean of its divisors is an integer number (759776400).

Almost surely, 210105025322 is an apocalyptic number.

10105025322 is an abundant number, since it is smaller than the sum of its proper divisors (14207819478).

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

10105025322 is a wasteful number, since it uses less digits than its factorization.

10105025322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662970.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 10105025322 its reverse (22352050101), we get a palindrome (32457075423).

The spelling of 10105025322 in words is "ten billion, one hundred five million, twenty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 12662939 25325878 37988817 75977634 88640573 177281146 240595841 265921719 481191682 531843438 721787523 1443575046 1684170887 3368341774 5052512661 10105025322