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10324311296 = 281310330119
BaseRepresentation
bin10011001110110000…
…00111110100000000
3222122112000100120212
421213120013310000
5132121010430141
64424245453252
7513563124635
oct114730076400
928575010525
1010324311296
114418893982
122001711228
13c86c4ab50
146dd26418c
154065c02eb
hex267607d00

10324311296 has 72 divisors (see below), whose sum is σ = 22409761920. Its totient is φ = 4718647296.

The previous prime is 10324311289. The next prime is 10324311299. The reversal of 10324311296 is 69211342301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324311299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327725 + ... + 357843.

Almost surely, 210324311296 is an apocalyptic number.

10324311296 is a gapful number since it is divisible by the number (16) 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 10324311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204880960).

10324311296 is an abundant number, since it is smaller than the sum of its proper divisors (12085450624).

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

10324311296 is a wasteful number, since it uses less digits than its factorization.

10324311296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30251 (or 30237 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 10324311296 its reverse (69211342301), we get a palindrome (79535653597).

The spelling of 10324311296 in words is "ten billion, three hundred twenty-four million, three hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 256 412 416 824 832 1339 1648 1664 2678 3296 3328 5356 6592 10712 13184 21424 26368 30119 42848 60238 85696 120476 171392 240952 342784 391547 481904 783094 963808 1566188 1927616 3102257 3132376 3855232 6204514 6264752 7710464 12409028 12529504 24818056 25059008 40329341 49636112 50118016 80658682 99272224 100236032 161317364 198544448 322634728 397088896 645269456 794177792 1290538912 2581077824 5162155648 10324311296