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130962300 = 223527259151
BaseRepresentation
bin1111100111001…
…01001101111100
3100010102120111120
413303211031330
5232011243200
620554550540
73150106200
oct763451574
9303376446
10130962300
1167a19a07
1237a38450
13211947b1
1413570b00
15b76d9a0
hex7ce537c

130962300 has 216 divisors, whose sum is σ = 451221120. Its totient is φ = 29232000.

The previous prime is 130962229. The next prime is 130962361. The reversal of 130962300 is 3269031.

It is a super-2 number, since 2×1309623002 = 34302248042580000, which contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 867225 + ... + 867375.

Almost surely, 2130962300 is an apocalyptic number.

130962300 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 130962300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

130962300 is an abundant number, since it is smaller than the sum of its proper divisors (320258820).

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

130962300 is a wasteful number, since it uses less digits than its factorization.

130962300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 130962300 is about 11443.8760916046. The cubic root of 130962300 is about 507.8265832938.

The spelling of 130962300 in words is "one hundred thirty million, nine hundred sixty-two thousand, three hundred".