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23132213130 = 2351369185837
BaseRepresentation
bin10101100010110010…
…011000111110001010
32012201010100011220110
4111202302120332022
5334333321310010
614343215335150
71446144365415
oct254262307612
965633304813
1023132213130
1198a0593114
124596b214b6
1322485a10a0
1411962a6b7c
15905c29120
hex562c98f8a

23132213130 has 64 divisors (see below), whose sum is σ = 59875095168. Its totient is φ = 5685776640.

The previous prime is 23132213053. The next prime is 23132213147. The reversal of 23132213130 is 3131223132.

It is a super-3 number, since 3×231322131303 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23132213097 and 23132213106.

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, 226572 + ... + 312408.

It is an arithmetic number, because the mean of its divisors is an integer number (935548362).

Almost surely, 223132213130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937547584).

23132213130 is an abundant number, since it is smaller than the sum of its proper divisors (36742882038).

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

23132213130 is a wasteful number, since it uses less digits than its factorization.

23132213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86551.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23132213130 its reverse (3131223132), we get a palindrome (26263436262).

The spelling of 23132213130 in words is "twenty-three billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 691 1382 2073 3455 4146 6910 8983 10365 17966 20730 26949 44915 53898 85837 89830 134745 171674 257511 269490 429185 515022 858370 1115881 1287555 2231762 2575110 3347643 5579405 6695286 11158810 16738215 33476430 59313367 118626734 177940101 296566835 355880202 593133670 771073771 889700505 1542147542 1779401010 2313221313 3855368855 4626442626 7710737710 11566106565 23132213130