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1055010100 = 225210550101
BaseRepresentation
bin111110111000100…
…010110100110100
32201112012001210011
4332320202310310
54130040310400
6252404310004
735100303124
oct7670426464
92645161704
101055010100
114a1586781
122553a2304
1313a75ab41
14a018ac84
156294a8ba
hex3ee22d34

1055010100 has 18 divisors (see below), whose sum is σ = 2289372134. Its totient is φ = 422004000.

The previous prime is 1055010097. The next prime is 1055010107. The reversal of 1055010100 is 10105501.

It can be written as a sum of positive squares in 3 ways, for example, as 110923024 + 944087076 = 10532^2 + 30726^2 .

It is a super-2 number, since 2×10550101002 = 2226092622204020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055010107) 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, 5274951 + ... + 5275150.

Almost surely, 21055010100 is an apocalyptic number.

1055010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055010100 is an abundant number, since it is smaller than the sum of its proper divisors (1234362034).

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

1055010100 is a wasteful number, since it uses less digits than its factorization.

1055010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10550115 (or 10550108 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 1055010100 is about 32480.9190140920. The cubic root of 1055010100 is about 1018.0103788876.

Adding to 1055010100 its reverse (10105501), we get a palindrome (1065115601).

The spelling of 1055010100 in words is "one billion, fifty-five million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10550101 21100202 42200404 52750505 105501010 211002020 263752525 527505050 1055010100