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1010000111100 = 22352371011635527
BaseRepresentation
bin11101011001010001011…
…00101010010111111100
310120112222122101201000020
432230220230222113330
5113021440012023400
62051553155332140
7132653513202621
oct16545054522774
93515878351006
101010000111100
1135a37a806422
121438b2bb1050
137431ccc4746
1436c545d8348
151b4146472a0
hexeb28b2a5fc

1010000111100 has 288 divisors, whose sum is σ = 3050109113856. Its totient is φ = 257821056000.

The previous prime is 1010000111083. The next prime is 1010000111101. The reversal of 1010000111100 is 11110000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1010000111100 is a modest number, since divided by 111100 gives 10100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000111101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182736537 + ... + 182742063.

Almost surely, 21010000111100 is an apocalyptic number.

1010000111100 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 1010000111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525054556928).

1010000111100 is an abundant number, since it is smaller than the sum of its proper divisors (2040109002756).

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

1010000111100 is a wasteful number, since it uses less digits than its factorization.

1010000111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010000111100 its reverse (11110000101), we get a palindrome (1021110111201).

It can be divided in two parts, 10100001 and 11100, that added together give a palindrome (10111101).

The spelling of 1010000111100 in words is "one trillion, ten billion, one hundred eleven thousand, one hundred".