Search a number
-
+
12376267321 = 112102283201
BaseRepresentation
bin10111000011010111…
…01101101000111001
31011221112010112002011
423201223231220321
5200321311023241
65404030205521
7615460352005
oct134153555071
934845115064
1012376267321
115281097900
1224949538a1
1312230b6a02
148559a5705
154c67e7281
hex2e1aeda39

12376267321 has 6 divisors (see below), whose sum is σ = 13603665866. Its totient is φ = 11251152000.

The previous prime is 12376267259. The next prime is 12376267349.

12376267321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 7129438096 + 5246829225 = 84436^2 + 72435^2 .

It is not a de Polignac number, because 12376267321 - 223 = 12367878713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12376267021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51141480 + ... + 51141721.

Almost surely, 212376267321 is an apocalyptic number.

12376267321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12376267321 is a deficient number, since it is larger than the sum of its proper divisors (1227398545).

12376267321 is a wasteful number, since it uses less digits than its factorization.

12376267321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102283223 (or 102283212 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The spelling of 12376267321 in words is "twelve billion, three hundred seventy-six million, two hundred sixty-seven thousand, three hundred twenty-one".

Divisors: 1 11 121 102283201 1125115211 12376267321