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151044100 = 225212292
BaseRepresentation
bin10010000000011…
…00000000000100
3101112012211112221
421000030000010
5302131402400
622553222124
73512565544
oct1100140004
9345184487
10151044100
1178295739
1242701944
13253a620c
14160bb324
15d3d8c1a
hex900c004

151044100 has 27 divisors (see below), whose sum is σ = 328032607. Its totient is φ = 60368480.

The previous prime is 151044077. The next prime is 151044149. The reversal of 151044100 is 1440151.

The square root of 151044100 is 12290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38514436 + 112529664 = 6206^2 + 10608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122286 + ... + 123514.

Almost surely, 2151044100 is an apocalyptic number.

151044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151044100 is the 12290-th square number.

It is an amenable number.

151044100 is an abundant number, since it is smaller than the sum of its proper divisors (176988507).

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

151044100 is an equidigital number, since it uses as much as digits as its factorization.

151044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The cubic root of 151044100 is about 532.5592372402.

Multiplying 151044100 by its sum of digits (16), we get a square (2416705600 = 491602).

Adding to 151044100 its reverse (1440151), we get a palindrome (152484251).

The spelling of 151044100 in words is "one hundred fifty-one million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1229 2458 4916 6145 12290 24580 30725 61450 122900 1510441 3020882 6041764 7552205 15104410 30208820 37761025 75522050 151044100