Search a number
-
+
122113042000112 = 24291327712727827
BaseRepresentation
bin11011110000111110101000…
…011111011010100011110000
3121000100220002212002110221102
4123300332220133122203300
5112001200002223000422
61111413542420143532
734502243005633532
oct3360765037324360
9530326085073842
10122113042000112
11359aa939801889
12118423aa837ba8
13531a2974894b7
142222434b1d852
15e1b691819192
hex6f0fa87da8f0

122113042000112 has 80 divisors (see below), whose sum is σ = 244980044559360. Its totient is φ = 58896317485824.

The previous prime is 122113042000063. The next prime is 122113042000133. The reversal of 122113042000112 is 211000240311221.

It is a super-2 number, since 2×1221130420001122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 4388279543 + ... + 4388307369.

It is an arithmetic number, because the mean of its divisors is an integer number (3062250556992).

Almost surely, 2122113042000112 is an apocalyptic number.

It is an amenable number.

122113042000112 is an abundant number, since it is smaller than the sum of its proper divisors (122867002559248).

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

122113042000112 is a wasteful number, since it uses less digits than its factorization.

122113042000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36318 (or 36312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122113042000112 its reverse (211000240311221), we get a palindrome (333113282311333).

The spelling of 122113042000112 in words is "one hundred twenty-two trillion, one hundred thirteen billion, forty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 58 116 232 464 1327 2654 5308 7127 10616 14254 21232 27827 28508 38483 55654 57016 76966 111308 114032 153932 206683 222616 307864 413366 445232 615728 806983 826732 1613966 1653464 3227932 3306928 6455864 9457529 12911728 18915058 36926429 37830116 73852858 75660232 147705716 151320464 198323029 274268341 295411432 396646058 548536682 590822864 793292116 1070866441 1097073364 1586584232 2141732882 2194146728 3173168464 4283465764 4388293456 5751367841 8566931528 11502735682 17133863056 23005471364 46010942728 92021885456 263174659483 526349318966 1052698637932 2105397275864 4210794551728 7632065125007 15264130250014 30528260500028 61056521000056 122113042000112