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996125130 = 23257111311057
BaseRepresentation
bin111011010111111…
…010100111001010
32120102101101210100
4323113322213022
54020002001010
6242502230230
733453631620
oct7327724712
92512341710
10996125130
11471317610
12239725376
1312b4b1570
149641d510
155c6b82c0
hex3b5fa9ca

996125130 has 192 divisors, whose sum is σ = 3477696768. Its totient is φ = 191047680.

The previous prime is 996125129. The next prime is 996125159. The reversal of 996125130 is 31521699.

996125130 is a `hidden beast` number, since 9 + 9 + 612 + 5 + 1 + 30 = 666.

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 84562 + ... + 95618.

It is an arithmetic number, because the mean of its divisors is an integer number (18113004).

Almost surely, 2996125130 is an apocalyptic number.

996125130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 996125130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738848384).

996125130 is an abundant number, since it is smaller than the sum of its proper divisors (2481571638).

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

996125130 is a wasteful number, since it uses less digits than its factorization.

996125130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 996125130 is about 31561.4500617446. The cubic root of 996125130 is about 998.7067047752.

The spelling of 996125130 in words is "nine hundred ninety-six million, one hundred twenty-five thousand, one hundred thirty".