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10113330312 = 2332297168219
BaseRepresentation
bin10010110101100110…
…10010110010001000
3222002211000102002100
421122303102302020
5131203003032222
64351311433400
7505421614011
oct113263226210
928084012070
1010113330312
11431a790828
121b62b25860
13c5231a627
146bd224008
153e2ce74ac
hex25acd2c88

10113330312 has 96 divisors (see below), whose sum is σ = 28734264000. Its totient is φ = 3208974720.

The previous prime is 10113330301. The next prime is 10113330373. The reversal of 10113330312 is 21303331101.

It is a happy number.

10113330312 is a `hidden beast` number, since 10 + 1 + 13 + 330 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114139 + ... + 182357.

It is an arithmetic number, because the mean of its divisors is an integer number (299315250).

Almost surely, 210113330312 is an apocalyptic number.

10113330312 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 10113330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367132000).

10113330312 is an abundant number, since it is smaller than the sum of its proper divisors (18620933688).

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

10113330312 is a wasteful number, since it uses less digits than its factorization.

10113330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68331 (or 68324 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10113330312 its reverse (21303331101), we get a palindrome (31416661413).

The spelling of 10113330312 in words is "ten billion, one hundred thirteen million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 71 72 87 116 142 174 213 232 261 284 348 426 522 568 639 696 852 1044 1278 1704 2059 2088 2556 4118 5112 6177 8236 12354 16472 18531 24708 37062 49416 68219 74124 136438 148248 204657 272876 409314 545752 613971 818628 1227942 1637256 1978351 2455884 3956702 4843549 4911768 5935053 7913404 9687098 11870106 14530647 15826808 17805159 19374196 23740212 29061294 35610318 38748392 43591941 47480424 58122588 71220636 87183882 116245176 140462921 142441272 174367764 280925842 348735528 421388763 561851684 842777526 1123703368 1264166289 1685555052 2528332578 3371110104 5056665156 10113330312