Search a number
-
+
10320903132 = 22319433104543
BaseRepresentation
bin10011001110010110…
…00111101111011100
3222122021121012110120
421213023013233130
5132114122400012
64424044434540
7513522141411
oct114713075734
928567535416
1010320903132
114416976311
122000548a50
13c86326797
146dca18108
1540614a58c
hex2672c7bdc

10320903132 has 48 divisors (see below), whose sum is σ = 25408373760. Its totient is φ = 3251674368.

The previous prime is 10320903107. The next prime is 10320903157. The reversal of 10320903132 is 23130902301.

It is an interprime number because it is at equal distance from previous prime (10320903107) and next prime (10320903157).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46453 + ... + 150995.

It is an arithmetic number, because the mean of its divisors is an integer number (529341120).

Almost surely, 210320903132 is an apocalyptic number.

10320903132 is a gapful number since it is divisible by the number (12) 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 10320903132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704186880).

10320903132 is an abundant number, since it is smaller than the sum of its proper divisors (15087470628).

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

10320903132 is a wasteful number, since it uses less digits than its factorization.

10320903132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105002 (or 105000 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The spelling of 10320903132 in words is "ten billion, three hundred twenty million, nine hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 433 866 1299 1732 2598 5196 8227 16454 24681 32908 49362 98724 104543 209086 313629 418172 627258 1254516 1986317 3972634 5958951 7945268 11917902 23835804 45267119 90534238 135801357 181068476 271602714 543205428 860075261 1720150522 2580225783 3440301044 5160451566 10320903132