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5012100 = 2232525569
BaseRepresentation
bin10011000111101010000100
3100102122022100
4103013222010
52240341400
6255232100
760413352
oct23075204
910378270
105012100
112913735
121818630
131066452
149467d2
15690100
hex4c7a84

5012100 has 54 divisors (see below), whose sum is σ = 15712970. Its totient is φ = 1336320.

The previous prime is 5012053. The next prime is 5012101. The reversal of 5012100 is 12105.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 4981824 = 174^2 + 2232^2 .

It is a super-2 number, since 2×50121002 = 50242292820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1885 + ... + 3684.

Almost surely, 25012100 is an apocalyptic number.

5012100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5012100 is an abundant number, since it is smaller than the sum of its proper divisors (10700870).

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

5012100 is a wasteful number, since it uses less digits than its factorization.

5012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5012100 is about 2238.7719848167. The cubic root of 5012100 is about 171.1354216067.

Adding to 5012100 its reverse (12105), we get a palindrome (5024205).

It can be divided in two parts, 501 and 2100, that added together give a square (2601 = 512).

The spelling of 5012100 in words is "five million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 5569 11138 16707 22276 27845 33414 50121 55690 66828 83535 100242 111380 139225 167070 200484 250605 278450 334140 417675 501210 556900 835350 1002420 1253025 1670700 2506050 5012100