Search a number
-
+
112202102113122 = 23723942146495711
BaseRepresentation
bin11001100000110000010110…
…011100001000001101100010
3112201021102020102011201200010
4121200300112130020031202
5104201304401120104442
61034344533434305350
732430222454606410
oct3140602634101542
9481242212151603
10112202102113122
113282970a5a394a
1210701628b88256
134a7b7c75025c8
141d9c879b4c2b0
15ce897a497b9c
hex660c16708362

112202102113122 has 128 divisors (see below), whose sum is σ = 258247471104000. Its totient is φ = 31835356761600.

The previous prime is 112202102113117. The next prime is 112202102113133. The reversal of 112202102113122 is 221311201202211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19646661847 + ... + 19646667557.

It is an arithmetic number, because the mean of its divisors is an integer number (2017558368000).

Almost surely, 2112202102113122 is an apocalyptic number.

112202102113122 is an abundant number, since it is smaller than the sum of its proper divisors (146045368990878).

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

112202102113122 is a wasteful number, since it uses less digits than its factorization.

112202102113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 112202102113122 its reverse (221311201202211), we get a palindrome (333513303315333).

The spelling of 112202102113122 in words is "one hundred twelve trillion, two hundred two billion, one hundred two million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 239 421 478 717 842 1263 1434 1673 2526 2947 3346 4649 5019 5711 5894 8841 9298 10038 11422 13947 17133 17682 27894 32543 34266 39977 65086 79954 97629 100619 119931 195258 201238 239862 301857 603714 704333 1111111 1364929 1408666 1957229 2112999 2222222 2404331 2729858 3333333 3914458 4094787 4225998 4808662 5871687 6666666 7212993 7777777 8189574 9554503 11743374 13700603 14425986 15555554 16830317 19109006 23333331 26550439 27401206 28663509 33660634 41101809 46666662 50490951 53100878 57327018 79651317 82203618 100981902 159302634 185853073 371706146 467777731 557559219 574635109 935555462 1115118438 1149270218 1403333193 1723905327 2806666386 3274444117 3447810654 4022445763 6345554921 6548888234 8044891526 9823332351 11177734819 12067337289 12691109842 19036664763 19646664702 22355469638 24134674578 33533204457 38073329526 44418884447 67066408914 78244143733 88837768894 133256653341 156488287466 234732431199 266513306682 469464862398 2671478621741 5342957243482 8014435865223 16028871730446 18700350352187 37400700704374 56101051056561 112202102113122