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BaseRepresentation
bin11101011001010010100…
…10110011110001111100
310120120000100012202102121
432230221102303301330
5113022000042023400
62051554153532324
7132653664202264
oct16545122636174
93516010182377
101010010111100
1135a385416591
121438b64140a4
13743220b62c3
1436c55a7c7a4
151b41547021a
hexeb294b3c7c

1010010111100 has 72 divisors (see below), whose sum is σ = 2307963374640. Its totient is φ = 382593415680.

The previous prime is 1010010111091. The next prime is 1010010111101. The reversal of 1010010111100 is 11110100101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010111101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4901754 + ... + 5103646.

It is an arithmetic number, because the mean of its divisors is an integer number (32055046870).

Almost surely, 21010010111100 is an apocalyptic number.

1010010111100 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 1010010111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153981687320).

1010010111100 is an abundant number, since it is smaller than the sum of its proper divisors (1297953263540).

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

1010010111100 is a wasteful number, since it uses less digits than its factorization.

1010010111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204559 (or 204552 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1010010111100 its reverse (11110100101), we get a palindrome (1021120211201).

The spelling of 1010010111100 in words is "one trillion, ten billion, ten million, one hundred eleven thousand, one hundred".