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15010042100 = 2252150100421
BaseRepresentation
bin11011111101010101…
…10001000011110100
31102202002001010212012
431332222301003310
5221220032321400
610521233143352
71040651152454
oct157652610364
942662033765
1015010042100
116402860879
122aaa9bab58
131552953b21
14a256b9d64
155ccb49d35
hex37eab10f4

15010042100 has 18 divisors (see below), whose sum is σ = 32571791574. Its totient is φ = 6004016800.

The previous prime is 15010042063. The next prime is 15010042109. The reversal of 15010042100 is 124001051.

It can be written as a sum of positive squares in 3 ways, for example, as 1415414884 + 13594627216 = 37622^2 + 116596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15010042109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75050111 + ... + 75050310.

Almost surely, 215010042100 is an apocalyptic number.

15010042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15010042100 is an abundant number, since it is smaller than the sum of its proper divisors (17561749474).

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

15010042100 is a wasteful number, since it uses less digits than its factorization.

15010042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150100435 (or 150100428 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 15010042100 its reverse (124001051), we get a palindrome (15134043151).

The spelling of 15010042100 in words is "fifteen billion, ten million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 150100421 300200842 600401684 750502105 1501004210 3002008420 3752510525 7505021050 15010042100