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10032330312 = 2332321743313
BaseRepresentation
bin10010101011111100…
…10011011001001000
3221220011121011222100
421111332103121020
5131021234032222
64335255353400
7503416254264
oct112576233110
927804534870
1010032330312
114288a97284
121b3b982860
13c3b5ca034
146b257b0a4
153dab474ac
hex255f93648

10032330312 has 48 divisors (see below), whose sum is σ = 27179968140. Its totient is φ = 3342993408.

The previous prime is 10032330311. The next prime is 10032330313. The reversal of 10032330312 is 21303323001.

10032330312 is a `hidden beast` number, since 1 + 0 + 0 + 323 + 30 + 312 = 666.

10032330312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10032330311) and next prime (10032330313).

It can be written as a sum of positive squares in 2 ways, for example, as 6904612836 + 3127717476 = 83094^2 + 55926^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10032330311) 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 11 ways as a sum of consecutive naturals, for example, 209968 + ... + 253280.

Almost surely, 210032330312 is an apocalyptic number.

10032330312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032330312 is an abundant number, since it is smaller than the sum of its proper divisors (17147637828).

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

10032330312 is a wasteful number, since it uses less digits than its factorization.

10032330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46542 (or 46535 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10032330312 its reverse (21303323001), we get a palindrome (31335653313).

The spelling of 10032330312 in words is "ten billion, thirty-two million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3217 6434 9651 12868 19302 25736 28953 38604 43313 57906 77208 86626 115812 129939 173252 231624 259878 346504 389817 519756 779634 1039512 1559268 3118536 139337921 278675842 418013763 557351684 836027526 1114703368 1254041289 1672055052 2508082578 3344110104 5016165156 10032330312