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23312133312 = 2631391910163
BaseRepresentation
bin10101101101100000…
…101110110011000000
32020011122220001222220
4111231200232303000
5340220401231222
614413123531040
71453460602146
oct255540566300
966148801886
1023312133312
119983100886
124627229a80
132276947830
1411b213d596
15916918b5c
hex56d82ecc0

23312133312 has 112 divisors (see below), whose sum is σ = 66503458560. Its totient is φ = 7164453888.

The previous prime is 23312133311. The next prime is 23312133323. The reversal of 23312133312 is 21333121332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23312133311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2288743 + ... + 2298905.

It is an arithmetic number, because the mean of its divisors is an integer number (593780880).

Almost surely, 223312133312 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 23312133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33251729280).

23312133312 is an abundant number, since it is smaller than the sum of its proper divisors (43191325248).

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

23312133312 is a wasteful number, since it uses less digits than its factorization.

23312133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110 (or 11100 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 23312133312 its reverse (21333121332), we get a palindrome (44645254644).

The spelling of 23312133312 in words is "twenty-three billion, three hundred twelve million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 919 1248 1838 2496 2757 3676 5514 7352 10163 11028 11947 14704 20326 22056 23894 29408 30489 35841 40652 44112 47788 58816 60978 71682 81304 88224 95576 121956 132119 143364 162608 176448 191152 243912 264238 286728 325216 382304 396357 487824 528476 573456 650432 764608 792714 975648 1056952 1146912 1585428 1951296 2113904 2293824 3170856 4227808 6341712 8455616 9339797 12683424 18679594 25366848 28019391 37359188 56038782 74718376 112077564 121417361 149436752 224155128 242834722 298873504 364252083 448310256 485669444 597747008 728504166 896620512 971338888 1457008332 1793241024 1942677776 2914016664 3885355552 5828033328 7770711104 11656066656 23312133312