Search a number
-
+
10323330203232 = 253235844896539
BaseRepresentation
bin1001011000111001011001…
…1011011111111001100000
31100112220022122001101211200
42112032112123133321200
52323114140013000412
633542250013241200
72113556513622114
oct226162633377140
940486278041750
1010323330203232
113320110853312
1211a8892493200
1359b64158a6c7
1427991a955744
1512d8008d99dc
hex963966dfe60

10323330203232 has 36 divisors (see below), whose sum is σ = 29356970266260. Its totient is φ = 3441110067648.

The previous prime is 10323330203213. The next prime is 10323330203257. The reversal of 10323330203232 is 23230203332301.

10323330203232 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 330 + 2 + 0 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×103233302032322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10323330203196 and 10323330203205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17922447982 + ... + 17922448557.

It is an arithmetic number, because the mean of its divisors is an integer number (815471396285).

Almost surely, 210323330203232 is an apocalyptic number.

10323330203232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10323330203232 is an abundant number, since it is smaller than the sum of its proper divisors (19033640063028).

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

10323330203232 is a wasteful number, since it uses less digits than its factorization.

10323330203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35844896555 (or 35844896544 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 10323330203232 its reverse (23230203332301), we get a palindrome (33553533535533).

The spelling of 10323330203232 in words is "ten trillion, three hundred twenty-three billion, three hundred thirty million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35844896539 71689793078 107534689617 143379586156 215069379234 286759172312 322604068851 430138758468 573518344624 645208137702 860277516936 1147036689248 1290416275404 1720555033872 2580832550808 3441110067744 5161665101616 10323330203232