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130302900 = 2232527133743
BaseRepresentation
bin1111100010001…
…00001110110100
3100002012001222100
413301010032310
5231324143100
620532502100
73141361560
oct761041664
9302161870
10130302900
1167609552
123777a930
1320cc3610
141343c6a0
15b68d400
hex7c443b4

130302900 has 432 divisors, whose sum is σ = 528271744. Its totient is φ = 26127360.

The previous prime is 130302881. The next prime is 130302917. The reversal of 130302900 is 9203031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3030279 + ... + 3030321.

Almost surely, 2130302900 is an apocalyptic number.

130302900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130302900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264135872).

130302900 is an abundant number, since it is smaller than the sum of its proper divisors (397968844).

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

130302900 is a wasteful number, since it uses less digits than its factorization.

130302900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 130302900 is about 11415.0295663218. The cubic root of 130302900 is about 506.9728402990.

Adding to 130302900 its reverse (9203031), we get a palindrome (139505931).

The spelling of 130302900 in words is "one hundred thirty million, three hundred two thousand, nine hundred".