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112112000122010 = 25722918217433093
BaseRepresentation
bin11001011111011100011011…
…111100010011110010011010
3112200221210200001101100001012
4121133130123330103302122
5104143320334012401020
61034235313012053522
732420552606405600
oct3137343374236232
9480853601340035
10112112000122010
11327a4483351389
12106a80820042a2
134a73168520475
141d9836d4a1870
15ce64551c17c5
hex65f71bf13c9a

112112000122010 has 96 divisors (see below), whose sum is σ = 242857477823760. Its totient is φ = 37110815013888.

The previous prime is 112112000121937. The next prime is 112112000122033. The reversal of 112112000122010 is 10221000211211.

It can be written as a sum of positive squares in 8 ways, for example, as 70711667814529 + 41400332307481 = 8409023^2 + 6434309^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258647024 + ... + 259080116.

Almost surely, 2112112000122010 is an apocalyptic number.

112112000122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112112000122010 is an abundant number, since it is smaller than the sum of its proper divisors (130745477701750).

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

112112000122010 is a wasteful number, since it uses less digits than its factorization.

112112000122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451360 (or 451353 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112112000122010 its reverse (10221000211211), we get a palindrome (122333000333221).

The spelling of 112112000122010 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 406 490 1015 1421 2030 2842 7105 14210 18217 36434 91085 127519 182170 255038 433093 528293 637595 866186 892633 1056586 1275190 1785266 2165465 2641465 3031651 3698051 4330930 4463165 5282930 6063302 7396102 8926330 12559697 15158255 18490255 21221557 25119394 25886357 30316510 36980510 42443114 51772714 62798485 87917879 106107785 125596970 129431785 175835758 212215570 258863570 439589395 615425153 879178790 1230850306 3077125765 6154251530 7889655181 15779310362 39448275905 55227586267 78896551810 110455172534 228800000249 276137931335 386593103869 457600000498 552275862670 773186207738 1144000001245 1601600001743 1932965519345 2288000002490 3203200003486 3865931038690 8008000008715 11211200012201 16016000017430 22422400024402 56056000061005 112112000122010