Search a number
-
+
100275482112 = 293132478219
BaseRepresentation
bin101110101100011100…
…0100110111000000000
3100120211101000021122220
41131120320212320000
53120331010411422
6114022123331040
710146630351231
oct1353070467000
9316741007586
10100275482112
1139587993973
1217526080a80
1395c0904900
144bd3891088
15291d503e5c
hex1758e26e00

100275482112 has 240 divisors, whose sum is σ = 295460732160. Its totient is φ = 30193852416.

The previous prime is 100275482063. The next prime is 100275482113. The reversal of 100275482112 is 211284572001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100275482113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12196339 + ... + 12204557.

It is an arithmetic number, because the mean of its divisors is an integer number (1231086384).

Almost surely, 2100275482112 is an apocalyptic number.

100275482112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100275482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147730366080).

100275482112 is an abundant number, since it is smaller than the sum of its proper divisors (195185250048).

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

100275482112 is an equidigital number, since it uses as much as digits as its factorization.

100275482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 100275482112 in words is "one hundred billion, two hundred seventy-five million, four hundred eighty-two thousand, one hundred twelve".