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100111220000 = 2554111134027
BaseRepresentation
bin101110100111100010…
…1111111110100100000
3100120101220220220101222
41131033011333310200
53120011433020000
6113553534514212
710142564221031
oct1351705776440
9316356826358
10100111220000
11395031a0360
121749b065968
1395958811ac
144bb9b32a88
15290dda8a85
hex174f17fd20

100111220000 has 240 divisors, whose sum is σ = 271123487712. Its totient is φ = 36072960000.

The previous prime is 100111219987. The next prime is 100111220023. The reversal of 100111220000 is 22111001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100111220000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24857987 + ... + 24862013.

Almost surely, 2100111220000 is an apocalyptic number.

100111220000 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 100111220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135561743856).

100111220000 is an abundant number, since it is smaller than the sum of its proper divisors (171012267712).

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

100111220000 is a wasteful number, since it uses less digits than its factorization.

100111220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100111220000 its reverse (22111001), we get a palindrome (100133331001).

The spelling of 100111220000 in words is "one hundred billion, one hundred eleven million, two hundred twenty thousand".