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220000011110100 = 22325213145312941101
BaseRepresentation
bin110010000001011010111110…
…100000110100011011010100
31001211221210111001000000102100
4302001122332200310123110
5212313440010321010400
62055522335421442100
764224322235641404
oct6201327640643324
91054853431000370
10220000011110100
116410a531979591
1220811586710330
13959abb1962830
143c480b3534804
151a67a89dbc100
hexc816be8346d4

220000011110100 has 216 divisors, whose sum is σ = 743133412992152. Its totient is φ = 54116574336000.

The previous prime is 220000011110003. The next prime is 220000011110219. The reversal of 220000011110100 is 1011110000022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 82050335050896 + 137949676059204 = 9058164^2 + 11745198^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10529550 + ... + 23470650.

Almost surely, 2220000011110100 is an apocalyptic number.

220000011110100 is a gapful number since it is divisible by the number (20) 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 220000011110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371566706496076).

220000011110100 is an abundant number, since it is smaller than the sum of its proper divisors (523133401882052).

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

220000011110100 is a wasteful number, since it uses less digits than its factorization.

220000011110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942587 (or 12942577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 220000011110100 its reverse (1011110000022), we get a palindrome (221011121110122).

The spelling of 220000011110100 in words is "two hundred twenty trillion, eleven million, one hundred ten thousand, one hundred".