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10131232200 = 23352591372089
BaseRepresentation
bin10010110111101111…
…00101010111001000
3222011001200220212020
421123313211113020
5131222043412300
64353151244440
7506030024055
oct113367452710
928131626766
1010131232200
1143298a8781
121b68b19720
13c55c47a6b
146c176402c
153e46818a0
hex25bde55c8

10131232200 has 192 divisors, whose sum is σ = 32187672000. Its totient is φ = 2635223040.

The previous prime is 10131232159. The next prime is 10131232213. The reversal of 10131232200 is 223213101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10131232200.

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 47 ways as a sum of consecutive naturals, for example, 4848756 + ... + 4850844.

It is an arithmetic number, because the mean of its divisors is an integer number (167644125).

Almost surely, 210131232200 is an apocalyptic number.

10131232200 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 10131232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093836000).

10131232200 is an abundant number, since it is smaller than the sum of its proper divisors (22056439800).

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

10131232200 is a wasteful number, since it uses less digits than its factorization.

10131232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10131232200 its reverse (223213101), we get a palindrome (10354445301).

The spelling of 10131232200 in words is "ten billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred".