Search a number
-
+
13330323121032 = 2332185143376681
BaseRepresentation
bin1100000111111011010100…
…1011001010001110001000
31202012100220010201201010100
43001332311023022032020
53221401000204333112
644203511011245400
72544040555660521
oct301766513121610
952170803651110
1013330323121032
11427a3a39766a5
1215b360a2a9860
13759075ab3a98
14341296483848
15181b43ee92dc
hexc1fb52ca388

13330323121032 has 24 divisors (see below), whose sum is σ = 36102958452990. Its totient is φ = 4443441040320.

The previous prime is 13330323121019. The next prime is 13330323121039. The reversal of 13330323121032 is 23012132303331.

13330323121032 is a `hidden beast` number, since 1 + 3 + 3 + 303 + 2 + 312 + 10 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12788677167876 + 541645953156 = 3576126^2 + 735966^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×133303231210322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13330323120987 and 13330323121005.

It is not an unprimeable number, because it can be changed into a prime (13330323121039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92571688269 + ... + 92571688412.

Almost surely, 213330323121032 is an apocalyptic number.

13330323121032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13330323121032 is an abundant number, since it is smaller than the sum of its proper divisors (22772635331958).

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

13330323121032 is a wasteful number, since it uses less digits than its factorization.

13330323121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185143376693 (or 185143376686 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13330323121032 its reverse (23012132303331), we get a palindrome (36342455424363).

The spelling of 13330323121032 in words is "thirteen trillion, three hundred thirty billion, three hundred twenty-three million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 185143376681 370286753362 555430130043 740573506724 1110860260086 1481147013448 1666290390129 2221720520172 3332580780258 4443441040344 6665161560516 13330323121032