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10130131331320 = 235711132239112997
BaseRepresentation
bin1001001101101001101011…
…1000010010100011111000
31022212102122021021211011011
42103122122320102203320
52311433002110100240
633313415035043304
72063610045405640
oct223323270224370
938772567254134
1010130131331320
11325618a054330
1211773545a0534
135863622c37a0
1427042dc23520
151287945996ea
hex9369ae128f8

10130131331320 has 256 divisors, whose sum is σ = 30616853299200. Its totient is φ = 2913235752960.

The previous prime is 10130131331293. The next prime is 10130131331357. The reversal of 10130131331320 is 2313313103101.

It is a super-2 number, since 2×101301313313202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10130131331291 and 10130131331300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89593062 + ... + 89706058.

It is an arithmetic number, because the mean of its divisors is an integer number (119597083200).

Almost surely, 210130131331320 is an apocalyptic number.

10130131331320 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 10130131331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15308426649600).

10130131331320 is an abundant number, since it is smaller than the sum of its proper divisors (20486721967880).

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

10130131331320 is a wasteful number, since it uses less digits than its factorization.

10130131331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115278 (or 115274 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10130131331320 its reverse (2313313103101), we get a palindrome (12443444434421).

The spelling of 10130131331320 in words is "ten trillion, one hundred thirty billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred twenty".