Search a number
-
+
1000111112220 = 22351137101405491
BaseRepresentation
bin11101000110110110100…
…01001000000000011100
310112121110110111111210110
432203123101020000130
5112341211421042340
62043240020010020
7132153454122243
oct16433321100034
93477413444713
101000111112220
11356165717180
121419b3230910
137340530020c
14365970cb95a
151b0363b3680
hexe8db44801c

1000111112220 has 192 divisors, whose sum is σ = 3168520975872. Its totient is φ = 233562240000.

The previous prime is 1000111112177. The next prime is 1000111112243. The reversal of 1000111112220 is 222111110001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000111112196 and 1000111112205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2263675 + ... + 2669165.

It is an arithmetic number, because the mean of its divisors is an integer number (16502713416).

Almost surely, 21000111112220 is an apocalyptic number.

1000111112220 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 1000111112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584260487936).

1000111112220 is an abundant number, since it is smaller than the sum of its proper divisors (2168409863652).

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

1000111112220 is a wasteful number, since it uses less digits than its factorization.

1000111112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405652 (or 405650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1000111112220 its reverse (222111110001), we get a palindrome (1222222222221).

The spelling of 1000111112220 in words is "one trillion, one hundred eleven million, one hundred twelve thousand, two hundred twenty".