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23120202432 = 263376153353
BaseRepresentation
bin10101100010000100…
…100100101011000000
32012200021201222022210
4111202010210223000
5334322232434212
614342110102120
71445640322665
oct254204445300
965607658283
1023120202432
11989482a318
124592aaa940
132245c57272
14119485ba6c
15904b5553c
hex562124ac0

23120202432 has 112 divisors (see below), whose sum is σ = 63856628192. Its totient is φ = 7375380480.

The previous prime is 23120202407. The next prime is 23120202503. The reversal of 23120202432 is 23420202132.

It is a junction number, because it is equal to n+sod(n) for n = 23120202399 and 23120202408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406668 + ... + 460020.

It is an arithmetic number, because the mean of its divisors is an integer number (570148466).

Almost surely, 223120202432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31928314096).

23120202432 is an abundant number, since it is smaller than the sum of its proper divisors (40736425760).

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

23120202432 is a wasteful number, since it uses less digits than its factorization.

23120202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53466 (or 53456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23120202432 its reverse (23420202132), we get a palindrome (46540404564).

The spelling of 23120202432 in words is "twenty-three billion, one hundred twenty million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 64 74 96 111 122 148 183 192 222 244 296 366 444 488 592 732 888 976 1184 1464 1776 1952 2257 2368 2928 3552 3904 4514 5856 6771 7104 9028 11712 13542 18056 27084 36112 53353 54168 72224 106706 108336 144448 160059 213412 216672 320118 426824 433344 640236 853648 1280472 1707296 1974061 2560944 3254533 3414592 3948122 5121888 5922183 6509066 7896244 9763599 10243776 11844366 13018132 15792488 19527198 23688732 26036264 31584976 39054396 47377464 52072528 63169952 78108792 94754928 104145056 120417721 126339904 156217584 189509856 208290112 240835442 312435168 361253163 379019712 481670884 624870336 722506326 963341768 1445012652 1926683536 2890025304 3853367072 5780050608 7706734144 11560101216 23120202432