Search a number
-
+
10311233112 = 23323715125633
BaseRepresentation
bin10011001101001100…
…01110111001011000
3222121121101220200200
421212212032321120
5132104133424422
64423101302200
7513344015055
oct114646167130
928547356620
1010311233112
114411471064
121bb9264960
13c8431c18b
146db61c02c
1540538a2ac
hex26698ee58

10311233112 has 96 divisors (see below), whose sum is σ = 28872086880. Its totient is φ = 3321907200.

The previous prime is 10311233111. The next prime is 10311233123. The reversal of 10311233112 is 21133211301.

10311233112 is a `hidden beast` number, since 10 + 311 + 2 + 331 + 12 = 666.

10311233112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311233111) 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 23 ways as a sum of consecutive naturals, for example, 389448 + ... + 415080.

It is an arithmetic number, because the mean of its divisors is an integer number (300750905).

Almost surely, 210311233112 is an apocalyptic number.

10311233112 is a gapful number since it is divisible by the number (12) 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 10311233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436043440).

10311233112 is an abundant number, since it is smaller than the sum of its proper divisors (18560853768).

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

10311233112 is a wasteful number, since it uses less digits than its factorization.

10311233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25833 (or 25826 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10311233112 its reverse (21133211301), we get a palindrome (31444444413).

The spelling of 10311233112 in words is "ten billion, three hundred eleven million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 151 222 296 302 333 444 453 604 666 888 906 1208 1332 1359 1812 2664 2718 3624 5436 5587 10872 11174 16761 22348 25633 33522 44696 50283 51266 67044 76899 100566 102532 134088 153798 201132 205064 230697 307596 402264 461394 615192 922788 948421 1845576 1896842 2845263 3793684 3870583 5690526 7587368 7741166 8535789 11381052 11611749 15482332 17071578 22762104 23223498 30964664 34143156 34835247 46446996 68286312 69670494 92893992 139340988 143211571 278681976 286423142 429634713 572846284 859269426 1145692568 1288904139 1718538852 2577808278 3437077704 5155616556 10311233112