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10331033312 = 2529110310093
BaseRepresentation
bin10011001111100011…
…10000111011100000
3222122222122212110102
421213301300323200
5132124221031222
64425045521532
7514004222435
oct114761607340
928588585412
1010331033312
114421665266
122003a132a8
13c88462682
147000d3b8c
15406e9bd92
hex267c70ee0

10331033312 has 48 divisors (see below), whose sum is σ = 21061736640. Its totient is φ = 4982380032.

The previous prime is 10331033299. The next prime is 10331033333. The reversal of 10331033312 is 21333013301.

10331033312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1018538 + ... + 1028630.

It is an arithmetic number, because the mean of its divisors is an integer number (438786180).

Almost surely, 210331033312 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 10331033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530868320).

10331033312 is an abundant number, since it is smaller than the sum of its proper divisors (10730703328).

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

10331033312 is a wasteful number, since it uses less digits than its factorization.

10331033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235 (or 11227 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10331033312 its reverse (21333013301), we get a palindrome (31664046613).

The spelling of 10331033312 in words is "ten billion, three hundred thirty-one million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1103 2206 4412 8824 10093 17648 20186 31987 35296 40372 63974 80744 127948 161488 255896 292697 322976 511792 585394 1023584 1170788 2341576 4683152 9366304 11132579 22265158 44530316 89060632 178121264 322844791 356242528 645689582 1291379164 2582758328 5165516656 10331033312