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10311003120 = 24351137283373
BaseRepresentation
bin10011001101001010…
…10110101111110000
3222121120222020012110
421212211112233300
5132104104044440
64423052325320
7513342036405
oct114645265760
928546866173
1010311003120
114411324290
121bb9173840
13c8426b5a2
146db59c2ac
15405342080
hex266956bf0

10311003120 has 320 divisors, whose sum is σ = 36035265024. Its totient is φ = 2416988160.

The previous prime is 10311003119. The next prime is 10311003299. The reversal of 10311003120 is 2130011301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10311003096 and 10311003105.

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, 27643254 + ... + 27643626.

Almost surely, 210311003120 is an apocalyptic number.

10311003120 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 10311003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017632512).

10311003120 is an abundant number, since it is smaller than the sum of its proper divisors (25724261904).

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

10311003120 is a wasteful number, since it uses less digits than its factorization.

10311003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10311003120 its reverse (2130011301), we get a palindrome (12441014421).

The spelling of 10311003120 in words is "ten billion, three hundred eleven million, three thousand, one hundred twenty".