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23131311232 = 272379271367
BaseRepresentation
bin10101100010101110…
…111100110010000000
32012201001122100201211
4111202232330302000
5334333103424412
614343144135504
71446133621111
oct254256746200
965631570654
1023131311232
1198a0027547
124596767594
132248346713
141196110208
15905aebca7
hex562bbcc80

23131311232 has 128 divisors (see below), whose sum is σ = 49007001600. Its totient is φ = 10852807680.

The previous prime is 23131311223. The next prime is 23131311241. The reversal of 23131311232 is 23211313132.

It is an interprime number because it is at equal distance from previous prime (23131311223) and next prime (23131311241).

It is a tau number, because it is divible by the number of its divisors (128).

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, 63027913 + ... + 63028279.

It is an arithmetic number, because the mean of its divisors is an integer number (382867200).

Almost surely, 223131311232 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 23131311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24503500800).

23131311232 is an abundant number, since it is smaller than the sum of its proper divisors (25875690368).

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

23131311232 is a wasteful number, since it uses less digits than its factorization.

23131311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

Adding to 23131311232 its reverse (23211313132), we get a palindrome (46342624364).

The spelling of 23131311232 in words is "twenty-three billion, one hundred thirty-one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 128 158 184 271 316 367 368 542 632 734 736 1084 1264 1468 1472 1817 2168 2528 2936 2944 3634 4336 5056 5872 6233 7268 8441 8672 10112 11744 12466 14536 16882 17344 21409 23488 24932 28993 29072 33764 34688 42818 46976 49864 57986 58144 67528 85636 99457 99728 115972 116288 135056 171272 198914 199456 231944 232576 270112 342544 397828 398912 463888 492407 540224 666839 685088 795656 797824 927776 984814 1080448 1333678 1370176 1591312 1855552 1969628 2287511 2667356 2740352 3182624 3711104 3939256 4575022 5334712 6365248 7857103 7878512 9150044 10669424 12730496 15714206 15757024 18300088 21338848 31428412 31514048 36600176 42677696 62856824 63028096 73200352 85355392 125713648 146400704 180713369 251427296 292801408 361426738 502854592 722853476 1005709184 1445706952 2891413904 5782827808 11565655616 23131311232