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10323212032 = 2878296949
BaseRepresentation
bin10011001110100111…
…11011011100000000
3222122102221111200101
421213103323130000
5132120220241112
64424210132144
7513550566040
oct114723733400
928572844611
1010323212032
114418202aa1
122001281054
13c869546b3
146dd059720
15406454757
hex2674fb700

10323212032 has 72 divisors (see below), whose sum is σ = 23581628000. Its totient is φ = 4418260992.

The previous prime is 10323212027. The next prime is 10323212033. The reversal of 10323212032 is 23021232301.

10323212032 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 not an unprimeable number, because it can be changed into a prime (10323212033) 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 7 ways as a sum of consecutive naturals, for example, 1482094 + ... + 1489042.

Almost surely, 210323212032 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 10323212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790814000).

10323212032 is an abundant number, since it is smaller than the sum of its proper divisors (13258415968).

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

10323212032 is an frugal number, since it uses more digits than its factorization.

10323212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10323212032 its reverse (23021232301), we get a palindrome (33344444333).

The spelling of 10323212032 in words is "ten billion, three hundred twenty-three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 829 896 1658 1792 3316 5803 6632 6949 11606 13264 13898 23212 26528 27796 46424 48643 53056 55592 92848 97286 106112 111184 185696 194572 212224 222368 371392 389144 444736 742784 778288 889472 1485568 1556576 1778944 3113152 5760721 6226304 11521442 12452608 23042884 40325047 46085768 80650094 92171536 161300188 184343072 322600376 368686144 645200752 737372288 1290401504 1474744576 2580803008 5161606016 10323212032