Search a number
-
+
111313233112312 = 23711893217631139
BaseRepresentation
bin11001010011110100100001…
…101101111110110011111000
3112121010102220121022222210001
4121103310201231332303320
5104042224000134043222
61032424332055002344
732306054454013510
oct3123644155766370
9477112817288701
10111313233112312
113251674a186540
12105993006693b4
134a15a3cb4936a
141d6b836bb6840
15cd07a5284e27
hex653d21b7ecf8

111313233112312 has 128 divisors (see below), whose sum is σ = 263218704192000. Its totient is φ = 42868104744960.

The previous prime is 111313233112309. The next prime is 111313233112337. The reversal of 111313233112312 is 213211332313111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176053239 + ... + 176684377.

It is an arithmetic number, because the mean of its divisors is an integer number (2056396126500).

Almost surely, 2111313233112312 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 111313233112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131609352096000).

111313233112312 is an abundant number, since it is smaller than the sum of its proper divisors (151905471079688).

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

111313233112312 is a wasteful number, since it uses less digits than its factorization.

111313233112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634469 (or 634465 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

Adding to 111313233112312 its reverse (213211332313111), we get a palindrome (324524565425423).

The spelling of 111313233112312 in words is "one hundred eleven trillion, three hundred thirteen billion, two hundred thirty-three million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 89 154 178 308 356 616 623 712 979 1246 1958 2492 3217 3916 4984 6434 6853 7832 12868 13706 22519 25736 27412 35387 45038 54824 70774 90076 141548 180152 247709 283096 286313 495418 572626 631139 990836 1145252 1262278 1981672 2004191 2290504 2524556 3149443 4008382 4417973 5049112 6298886 6942529 8016764 8835946 12597772 13885058 16033528 17671892 22046101 25195544 27770116 35343784 44092202 48597703 55540232 56171371 88184404 97195406 112342742 176368808 194390812 224685484 388781624 393199597 449370968 617885081 786399194 1235770162 1572798388 2030374163 2471540324 3145596776 4060748326 4325195567 4943080648 8121496652 8650391134 14212619141 16242993304 17300782268 22334115793 28425238282 34601564536 44668231586 56850476564 89336463172 113700953128 156338810551 178672926344 180703300507 312677621102 361406601014 625355242204 722813202028 1250710484408 1264923103549 1445626404056 1987736305577 2529846207098 3975472611154 5059692414196 7950945222308 10119384828392 13914154139039 15901890444616 27828308278078 55656616556156 111313233112312