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10331332232 = 2313196478081
BaseRepresentation
bin10011001111100101…
…11001111010001000
3222200000020001111112
421213302321322020
5132124310112412
64425100145452
7514006606064
oct114762717210
928600201445
1010331332232
114421849901
122003b38288
13c88538750
14700170aa4
1540700a722
hex267cb9e88

10331332232 has 64 divisors (see below), whose sum is σ = 21995971200. Its totient is φ = 4509803520.

The previous prime is 10331332201. The next prime is 10331332237. The reversal of 10331332232 is 23223313301.

It is a junction number, because it is equal to n+sod(n) for n = 10331332198 and 10331332207.

It is not an unprimeable number, because it can be changed into a prime (10331332237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274432 + ... + 1282512.

It is an arithmetic number, because the mean of its divisors is an integer number (343687050).

Almost surely, 210331332232 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 10331332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10997985600).

10331332232 is an abundant number, since it is smaller than the sum of its proper divisors (11664638968).

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

10331332232 is a wasteful number, since it uses less digits than its factorization.

10331332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 10331332232 its reverse (23223313301), we get a palindrome (33554645533).

The spelling of 10331332232 in words is "ten billion, three hundred thirty-one million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 647 988 1294 1976 2588 5176 8081 8411 12293 16162 16822 24586 32324 33644 49172 64648 67288 98344 105053 153539 159809 210106 307078 319618 420212 614156 639236 840424 1228312 1278472 1996007 3992014 5228407 7984028 10456814 15968056 20913628 41827256 67969291 99339733 135938582 198679466 271877164 397358932 543754328 794717864 1291416529 2582833058 5165666116 10331332232