Search a number
-
+
131112133103223 = 3319724649771217
BaseRepresentation
bin11101110011111011101100…
…000111101000111001110111
3122012020012022222122120011000
4131303323230013220321313
5114141120122033300343
61142504025450014343
736421352612130006
oct3563735407507167
9565205288576130
10131112133103223
113885a386061258
12128564b01173b3
135820a89c5907c
142453c0ac10c3d
1510257da30ced3
hex773eec1e8e77

131112133103223 has 16 divisors (see below), whose sum is σ = 195226188046560. Its totient is φ = 86964392850048.

The previous prime is 131112133103191. The next prime is 131112133103291. The reversal of 131112133103223 is 322301331211131.

131112133103223 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 2 + 1 + 331 + 0 + 322 + 3 = 666.

It is not a de Polignac number, because 131112133103223 - 25 = 131112133103191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112133103293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12324880290 + ... + 12324890927.

It is an arithmetic number, because the mean of its divisors is an integer number (12201636752910).

Almost surely, 2131112133103223 is an apocalyptic number.

131112133103223 is a deficient number, since it is larger than the sum of its proper divisors (64114054943337).

131112133103223 is a wasteful number, since it uses less digits than its factorization.

131112133103223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24649771423 (or 24649771417 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131112133103223 its reverse (322301331211131), we get a palindrome (453413464314354).

The spelling of 131112133103223 in words is "one hundred thirty-one trillion, one hundred twelve billion, one hundred thirty-three million, one hundred three thousand, two hundred twenty-three".

Divisors: 1 3 9 27 197 591 1773 5319 24649771217 73949313651 221847940953 665543822859 4856004929749 14568014789247 43704044367741 131112133103223