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100012100 = 22521000121
BaseRepresentation
bin1011111011000…
…01000001000100
320222012010210212
411331201001010
5201100341400
613531334552
72323042316
oct575410104
9228163725
10100012100
11514aa631
12295b1458
1317949176
14d3d57b6
158ba8335
hex5f61044

100012100 has 18 divisors (see below), whose sum is σ = 217026474. Its totient is φ = 40004800.

The previous prime is 100012069. The next prime is 100012103. The reversal of 100012100 is 1210001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 34951744 + 65060356 = 5912^2 + 8066^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499961 + ... + 500160.

Almost surely, 2100012100 is an apocalyptic number.

100012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012100 is an abundant number, since it is smaller than the sum of its proper divisors (117014374).

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

100012100 is a wasteful number, since it uses less digits than its factorization.

100012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000135 (or 1000128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 100012100 is about 10000.6049816999. The cubic root of 100012100 is about 464.1776036812.

Adding to 100012100 its reverse (1210001), we get a palindrome (101222101).

The spelling of 100012100 in words is "one hundred million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1000121 2000242 4000484 5000605 10001210 20002420 25003025 50006050 100012100