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1111210020100 = 2252171922922153
BaseRepresentation
bin10000001010111001010…
…001110100110100000100
310221020020010200210101101
4100022321101310310010
5121201224231120400
62210252143105444
7143165551216615
oct20127121646404
93836203623341
101111210020100
113992970a6014
1215b439ba2284
1380a2c38796b
143bad6207c0c
151dd89bc856a
hex102b9474d04

1111210020100 has 324 divisors, whose sum is σ = 2792036352924. Its totient is φ = 382476165120.

The previous prime is 1111210020077. The next prime is 1111210020121. The reversal of 1111210020100 is 10200121111.

It can be written as a sum of positive squares in 18 ways, for example, as 797177551104 + 314032468996 = 892848^2 + 560386^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 516120624 + ... + 516122776.

It is an arithmetic number, because the mean of its divisors is an integer number (8617396151).

Almost surely, 21111210020100 is an apocalyptic number.

1111210020100 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 1111210020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396018176462).

1111210020100 is an abundant number, since it is smaller than the sum of its proper divisors (1680826332824).

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

1111210020100 is a wasteful number, since it uses less digits than its factorization.

1111210020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1111210020100 its reverse (10200121111), we get a palindrome (1121410141211).

The spelling of 1111210020100 in words is "one trillion, one hundred eleven billion, two hundred ten million, twenty thousand, one hundred".