Search a number
-
+
112250805151232 = 2911232937380111
BaseRepresentation
bin11001100001011101101101…
…010111011110011000000000
3112201110001221121112102001102
4121201131231113132120000
5104203104122104314412
61034423150305353532
732433565410604226
oct3141355527363000
9481401847472042
10112250805151232
1132848332154270
121070ab5b6388a8
134a8328965c157
141da0d7a10cb16
15ce9d7b04c8c2
hex66176d5de600

112250805151232 has 320 divisors, whose sum is σ = 264824738703360. Its totient is φ = 46994858803200.

The previous prime is 112250805151231. The next prime is 112250805151249. The reversal of 112250805151232 is 232151508052211.

It is a super-2 number, since 2×1122508051512322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112250805151231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401150857 + ... + 1401230967.

It is an arithmetic number, because the mean of its divisors is an integer number (827577308448).

Almost surely, 2112250805151232 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 112250805151232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132412369351680).

112250805151232 is an abundant number, since it is smaller than the sum of its proper divisors (152573933552128).

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

112250805151232 is a wasteful number, since it uses less digits than its factorization.

112250805151232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80565 (or 80549 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 112250805151232 in words is "one hundred twelve trillion, two hundred fifty billion, eight hundred five million, one hundred fifty-one thousand, two hundred thirty-two".