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101310331200 = 26352133183631
BaseRepresentation
bin101111001011010010…
…0001111100101000000
3100200111111021001201220
41132112210033211000
53124440421044300
6114312531555040
710214364415041
oct1362644174500
9320444231656
10101310331200
1139a6904a351
121777475ba80
139727123c50
144c910b08c8
15297e2bada0
hex179690f940

101310331200 has 672 divisors, whose sum is σ = 374541361152. Its totient is φ = 23804928000.

The previous prime is 101310331189. The next prime is 101310331201. The reversal of 101310331200 is 2133013101.

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 101310331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310331201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 160554885 + ... + 160555515.

It is an arithmetic number, because the mean of its divisors is an integer number (557353216).

Almost surely, 2101310331200 is an apocalyptic number.

101310331200 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 101310331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187270680576).

101310331200 is an abundant number, since it is smaller than the sum of its proper divisors (273231029952).

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

101310331200 is a wasteful number, since it uses less digits than its factorization.

101310331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101310331200 its reverse (2133013101), we get a palindrome (103443344301).

The spelling of 101310331200 in words is "one hundred one billion, three hundred ten million, three hundred thirty-one thousand, two hundred".