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10364303312 = 24111910330091
BaseRepresentation
bin10011010011100001…
…01011011111010000
3222202022021011022122
421221300223133100
5132211230201222
64432234553412
7514560060506
oct115160533720
928668234278
1010364303312
114439419530
122012b98868
13c92310b6c
147046b4676
15409d6ea42
hex269c2b7d0

10364303312 has 80 divisors (see below), whose sum is σ = 23283985920. Its totient is φ = 4419619200.

The previous prime is 10364303311. The next prime is 10364303321. The reversal of 10364303312 is 21330346301.

It is a happy number.

10364303312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103643033123 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364303311) 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 15 ways as a sum of consecutive naturals, for example, 329387 + ... + 359477.

It is an arithmetic number, because the mean of its divisors is an integer number (291049824).

Almost surely, 210364303312 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 10364303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641992960).

10364303312 is an abundant number, since it is smaller than the sum of its proper divisors (12919682608).

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

10364303312 is a wasteful number, since it uses less digits than its factorization.

10364303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30232 (or 30226 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10364303312 its reverse (21330346301), we get a palindrome (31694649613).

The spelling of 10364303312 in words is "ten billion, three hundred sixty-four million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 103 152 176 206 209 304 412 418 824 836 1133 1648 1672 1957 2266 3344 3914 4532 7828 9064 15656 18128 21527 30091 31312 43054 60182 86108 120364 172216 240728 331001 344432 481456 571729 662002 1143458 1324004 2286916 2648008 3099373 4573832 5296016 6198746 6289019 9147664 12397492 12578038 24794984 25156076 34093103 49589968 50312152 58888087 68186206 100624304 117776174 136372412 235552348 272744824 471104696 545489648 647768957 942209392 1295537914 2591075828 5182151656 10364303312