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1010412100 = 225211389417
BaseRepresentation
bin111100001110011…
…010101001000100
32121102021020211101
4330032122221010
54032131141400
6244132345444
734016234605
oct7416325104
92542236741
101010412100
11479395625
12242475284
131314444a9
149829bdac
155da8b56a
hex3c39aa44

1010412100 has 36 divisors (see below), whose sum is σ = 2212022484. Its totient is φ = 400583680.

The previous prime is 1010412083. The next prime is 1010412101. The reversal of 1010412100 is 12140101.

It can be written as a sum of positive squares in 6 ways, for example, as 7929856 + 1002482244 = 2816^2 + 31662^2 .

It is a super-2 number, since 2×10104121002 = 2041865223652820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010412101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33409 + ... + 56008.

It is an arithmetic number, because the mean of its divisors is an integer number (61445069).

Almost surely, 21010412100 is an apocalyptic number.

1010412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010412100 is an abundant number, since it is smaller than the sum of its proper divisors (1201610384).

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

1010412100 is a wasteful number, since it uses less digits than its factorization.

1010412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89544 (or 89537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1010412100 is about 31786.9800390034. The cubic root of 1010412100 is about 1003.4587234402.

Adding to 1010412100 its reverse (12140101), we get a palindrome (1022552201).

The spelling of 1010412100 in words is "one billion, ten million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 89417 178834 357668 447085 894170 1788340 2235425 4470850 8941700 10104121 20208242 40416484 50520605 101041210 202082420 252603025 505206050 1010412100