Search a number
-
+
213254030130 = 23547255759149
BaseRepresentation
bin1100011010011011101…
…1100100001100110010
3202101110001002011210020
43012212323210030302
511443221012431010
6241544553544310
721256430230161
oct3064673441462
9671401064706
10213254030130
1182493382209
12353b6415096
1317157214a5b
14a4704953d8
155831d54470
hex31a6ee4332

213254030130 has 64 divisors (see below), whose sum is σ = 522912499200. Its totient is φ = 55635081984.

The previous prime is 213254030117. The next prime is 213254030159. The reversal of 213254030130 is 31030452312.

213254030130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213254030130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3575796 + ... + 3634944.

It is an arithmetic number, because the mean of its divisors is an integer number (8170507800).

Almost surely, 2213254030130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213254030130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261456249600).

213254030130 is an abundant number, since it is smaller than the sum of its proper divisors (309658469070).

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

213254030130 is a wasteful number, since it uses less digits than its factorization.

213254030130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61763.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 213254030130 its reverse (31030452312), we get a palindrome (244284482442).

The spelling of 213254030130 in words is "two hundred thirteen billion, two hundred fifty-four million, thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2557 5114 7671 12785 15342 25570 38355 59149 76710 118298 120179 177447 240358 295745 354894 360537 591490 600895 721074 887235 1201790 1774470 1802685 2780003 3605370 5560006 8340009 13900015 16680018 27800030 41700045 83400090 151243993 302487986 453731979 756219965 907463958 1512439930 2268659895 4537319790 7108467671 14216935342 21325403013 35542338355 42650806026 71084676710 106627015065 213254030130