Search a number
-
+
13100233201002 = 232727790733389
BaseRepresentation
bin1011111010100010001010…
…1111110001010101101010
31201101100222202221201011100
42332220202233301111222
53204113234144413002
643510055233542230
72521313663634243
oct276504257612552
951340882851140
1013100233201002
1141a08611351a2
121576ab5714976
137404678a80cc
143340aa02bcca
1517ab790d811c
hexbea22bf156a

13100233201002 has 12 divisors (see below), whose sum is σ = 28383838602210. Its totient is φ = 4366744400328.

The previous prime is 13100233200997. The next prime is 13100233201057. The reversal of 13100233201002 is 20010233200131.

13100233201002 is a `hidden beast` number, since 1 + 310 + 0 + 23 + 320 + 10 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12977782895961 + 122450305041 = 3602469^2 + 349929^2 .

It is a super-2 number, since 2×131002332010022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 727790733389 = 13100233201002 / (1 + 3 + 1 + 0 + 0 + 2 + 3 + 3 + 2 + 0 + 1 + 0 + 0 + 2).

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, 363895366677 + ... + 363895366712.

Almost surely, 213100233201002 is an apocalyptic number.

13100233201002 is an abundant number, since it is smaller than the sum of its proper divisors (15283605401208).

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

13100233201002 is a wasteful number, since it uses less digits than its factorization.

13100233201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727790733397 (or 727790733394 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13100233201002 its reverse (20010233200131), we get a palindrome (33110466401133).

The spelling of 13100233201002 in words is "thirteen trillion, one hundred billion, two hundred thirty-three million, two hundred one thousand, two".

Divisors: 1 2 3 6 9 18 727790733389 1455581466778 2183372200167 4366744400334 6550116600501 13100233201002