Search a number
-
+
23113332324512 = 2543103808920161
BaseRepresentation
bin1010100000101011111011…
…11101100111100010100000
310000211121112212111101100022
411100111331331213202200
511012142101033341022
6121054041314413012
74603611631111163
oct520257575474240
9100747485441308
1023113332324512
117401344596621
122713628291168
13cb87687ccb91
1459c996b29ada
152a136e00cc42
hex15057df678a0

23113332324512 has 96 divisors (see below), whose sum is σ = 47022822887040. Its totient is φ = 11176378859520.

The previous prime is 23113332324473. The next prime is 23113332324527. The reversal of 23113332324512 is 21542323331132.

It is a super-2 number, since 2×231133323245122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146427712 + ... + 1146447872.

It is an arithmetic number, because the mean of its divisors is an integer number (489821071740).

Almost surely, 223113332324512 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 23113332324512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23511411443520).

23113332324512 is an abundant number, since it is smaller than the sum of its proper divisors (23909490562528).

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

23113332324512 is a wasteful number, since it uses less digits than its factorization.

23113332324512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28406 (or 28398 counting only the distinct ones).

The product of its digits is 77760, while the sum is 35.

Adding to 23113332324512 its reverse (21542323331132), we get a palindrome (44655655655644).

The spelling of 23113332324512 in words is "twenty-three trillion, one hundred thirteen billion, three hundred thirty-two million, three hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 103 172 206 344 412 688 824 1376 1648 3296 4429 8089 8858 16178 17716 20161 32356 35432 40322 64712 70864 80644 129424 141728 161288 258848 322576 347827 645152 695654 833167 866923 1391308 1666334 1733846 2076583 2782616 3332668 3467692 4153166 5565232 6665336 6935384 8306332 11130464 13330672 13870768 16612664 26661344 27741536 33225328 35826181 66450656 71652362 89293069 143304724 163082329 178586138 286609448 326164658 357172276 573218896 652329316 714344552 1146437792 1304658632 1428689104 2609317264 2857378208 5218634528 7012540147 14025080294 16797479887 28050160588 33594959774 56100321176 67189919548 112200642352 134379839096 224401284704 268759678192 537519356384 722291635141 1444583270282 2889166540564 5778333081128 11556666162256 23113332324512