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1010010111100 = 2252192633201893
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".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 2633 5266 10532 13165 26330 50027 52660 65825 100054 131650 200108 201893 250135 263300 403786 500270 807572 1000540 1009465 1250675 2018930 2501350 3835967 4037860 5002700 5047325 7671934 10094650 15343868 19179835 20189300 38359670 76719340 95899175 191798350 383596700 531584269 1063168538 2126337076 2657921345 5315842690 10100101111 10631685380 13289606725 20200202222 26579213450 40400404444 50500505555 53158426900 101001011110 202002022220 252502527775 505005055550 1010010111100