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100011010100 = 22521000110101
BaseRepresentation
bin101110100100100011…
…1101110100000110100
3100120010221100201021012
41131021013232200310
53114310304310400
6113535555011352
710140236362631
oct1351107564064
9316127321235
10100011010100
1139461676161
1217471599b58
13957ab95cb1
144baa6c9188
1529051b1d35
hex17491ee834

100011010100 has 18 divisors (see below), whose sum is σ = 217023892134. Its totient is φ = 40004404000.

The previous prime is 100011010097. The next prime is 100011010103. The reversal of 100011010100 is 1010110001.

It is an interprime number because it is at equal distance from previous prime (100011010097) and next prime (100011010103).

It can be written as a sum of positive squares in 3 ways, for example, as 25037998756 + 74973011344 = 158234^2 + 273812^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011010103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500054951 + ... + 500055150.

Almost surely, 2100011010100 is an apocalyptic number.

100011010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011010100 is an abundant number, since it is smaller than the sum of its proper divisors (117012882034).

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

100011010100 is a wasteful number, since it uses less digits than its factorization.

100011010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000110115 (or 1000110108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100011010100 its reverse (1010110001), we get a palindrome (101021120101).

Subtracting from 100011010100 its reverse (1010110001), we obtain a palindrome (99000900099).

The spelling of 100011010100 in words is "one hundred billion, eleven million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1000110101 2000220202 4000440404 5000550505 10001101010 20002202020 25002752525 50005505050 100011010100