Search a number
-
+
10213022130 = 2355917333353
BaseRepresentation
bin10011000001011111…
…00101100110110010
3222100202121021112220
421200233211212302
5131404013202010
64405232301510
7511042153503
oct114057454662
928322537486
1010213022130
114370a91763
121b903a1896
13c69b83a7c
146cc574baa
153eb93a970
hex260be59b2

10213022130 has 64 divisors (see below), whose sum is σ = 25071534720. Its totient is φ = 2661756416.

The previous prime is 10213022089. The next prime is 10213022167. The reversal of 10213022130 is 3122031201.

10213022130 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 (15).

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 31 ways as a sum of consecutive naturals, for example, 289534 + ... + 322886.

It is an arithmetic number, because the mean of its divisors is an integer number (391742730).

Almost surely, 210213022130 is an apocalyptic number.

10213022130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535767360).

10213022130 is an abundant number, since it is smaller than the sum of its proper divisors (14858512590).

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

10213022130 is a wasteful number, since it uses less digits than its factorization.

10213022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33595.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10213022130 its reverse (3122031201), we get a palindrome (13335053331).

The spelling of 10213022130 in words is "ten billion, two hundred thirteen million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 173 177 295 346 354 519 590 865 885 1038 1730 1770 2595 5190 10207 20414 30621 33353 51035 61242 66706 100059 102070 153105 166765 200118 306210 333530 500295 1000590 1967827 3935654 5770069 5903481 9839135 11540138 11806962 17310207 19678270 28850345 29517405 34620414 57700690 59034810 86551035 173102070 340434071 680868142 1021302213 1702170355 2042604426 3404340710 5106511065 10213022130