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131003300 = 22521310033
BaseRepresentation
bin1111100111011…
…11001110100100
3100010111122202002
413303233032210
5232014101200
620555504432
73150336551
oct763571644
9303448662
10131003300
1167a4779a
1237a58118
13211aa35c
1413581a28
15b77abd5
hex7cef3a4

131003300 has 18 divisors (see below), whose sum is σ = 284277378. Its totient is φ = 52401280.

The previous prime is 131003287. The next prime is 131003311. The reversal of 131003300 is 3300131.

It can be written as a sum of positive squares in 3 ways, for example, as 18939904 + 112063396 = 4352^2 + 10586^2 .

It is a super-2 number, since 2×1310033002 = 34323729221780000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 654917 + ... + 655116.

Almost surely, 2131003300 is an apocalyptic number.

131003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131003300 is an abundant number, since it is smaller than the sum of its proper divisors (153274078).

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

131003300 is a wasteful number, since it uses less digits than its factorization.

131003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310047 (or 1310040 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 131003300 is about 11445.6673025211. The cubic root of 131003300 is about 507.8795723793.

Adding to 131003300 its reverse (3300131), we get a palindrome (134303431).

The spelling of 131003300 in words is "one hundred thirty-one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1310033 2620066 5240132 6550165 13100330 26200660 32750825 65501650 131003300