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10311330112 = 26312359467
BaseRepresentation
bin10011001101001101…
…00110100101000000
3222121121120211202021
421212212212211000
5132104200030422
64423103331224
7513344600626
oct114646464500
928547524667
1010311330112
114411527a26
121bb92b0b14
13c84354385
146db645516
154053a8dc7
hex2669a6940

10311330112 has 84 divisors (see below), whose sum is σ = 21247181280. Its totient is φ = 4964801280.

The previous prime is 10311330079. The next prime is 10311330149. The reversal of 10311330112 is 21103311301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22079703 + ... + 22080169.

Almost surely, 210311330112 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 10311330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623590640).

10311330112 is an abundant number, since it is smaller than the sum of its proper divisors (10935851168).

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

10311330112 is an equidigital number, since it uses as much as digits as its factorization.

10311330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10311330112 its reverse (21103311301), we get a palindrome (31414641413).

It can be divided in two parts, 103113 and 30112, that added together give a square (133225 = 3652).

The spelling of 10311330112 in words is "ten billion, three hundred eleven million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 359 467 496 718 934 961 992 1436 1868 1922 1984 2872 3736 3844 5744 7472 7688 11129 11488 14477 14944 15376 22258 22976 28954 29888 30752 44516 57908 61504 89032 115816 167653 178064 231632 335306 344999 356128 448787 463264 670612 689998 712256 897574 926528 1341224 1379996 1795148 2682448 2759992 3590296 5197243 5364896 5519984 7180592 10394486 10729792 11039968 14361184 20788972 22079936 28722368 41577944 83155888 161114533 166311776 322229066 332623552 644458132 1288916264 2577832528 5155665056 10311330112