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9950131200 = 2103522343131
BaseRepresentation
bin10010100010001001…
…01111010000000000
3221200102221000222210
421101010233100000
5130334213144300
64323201502120
7501400501602
oct112104572000
927612830883
109950131200
114246653929
121b18341940
13c275799c9
146a56a1172
153d380c050
hex25112f400

9950131200 has 528 divisors, whose sum is σ = 35381592576. Its totient is φ = 2460057600.

The previous prime is 9950131199. The next prime is 9950131241. The reversal of 9950131200 is 21310599.

It is a super-2 number, since 2×99501312002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75955135 + ... + 75955265.

It is an arithmetic number, because the mean of its divisors is an integer number (67010592).

Almost surely, 29950131200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9950131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690796288).

9950131200 is an abundant number, since it is smaller than the sum of its proper divisors (25431461376).

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

9950131200 is a wasteful number, since it uses less digits than its factorization.

9950131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 9950131200 is about 99750.3443603078. The cubic root of 9950131200 is about 2150.8474178862.

Adding to 9950131200 its reverse (21310599), we get a palindrome (9971441799).

The spelling of 9950131200 in words is "nine billion, nine hundred fifty million, one hundred thirty-one thousand, two hundred".