Search a number
-
+
100011002220 = 2232537971491039
BaseRepresentation
bin101110100100100011…
…1101100100101101100
3100120010221100022110100
41131021013230211230
53114310304032340
6113535554511100
710140236330643
oct1351107544554
9316127308410
10100011002220
1139461670248
1217471595490
13957ab9252c
144baa6c635a
1529051ae830
hex17491ec96c

100011002220 has 288 divisors, whose sum is σ = 317195424000. Its totient is φ = 25484378112.

The previous prime is 100011002213. The next prime is 100011002237. The reversal of 100011002220 is 22200110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96256461 + ... + 96257499.

It is an arithmetic number, because the mean of its divisors is an integer number (1101373000).

Almost surely, 2100011002220 is an apocalyptic number.

100011002220 is a gapful number since it is divisible by the number (10) 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 100011002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158597712000).

100011002220 is an abundant number, since it is smaller than the sum of its proper divisors (217184421780).

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

100011002220 is a wasteful number, since it uses less digits than its factorization.

100011002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100011002220 its reverse (22200110001), we get a palindrome (122211112221).

The spelling of 100011002220 in words is "one hundred billion, eleven million, two thousand, two hundred twenty".