Search a number
-
+
121312223131 = 11197174311003
BaseRepresentation
bin111000011111011000…
…1011001111110011011
3102121010110100110020011
41300332301121332123
53441421412120011
6131421405542351
711523141611551
oct1607661317633
9377113313204
10121312223131
11474a2650850
121b6172749b7
13b594011a68
145c2b729bd1
1532502ac621
hex1c3ec59f9b

121312223131 has 32 divisors (see below), whose sum is σ = 141470945280. Its totient is φ = 102859898400.

The previous prime is 121312223077. The next prime is 121312223171. The reversal of 121312223131 is 131322213121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121312223131 is a prime.

It is a super-2 number, since 2×1213122231312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121312223171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11019876 + ... + 11030878.

It is an arithmetic number, because the mean of its divisors is an integer number (4420967040).

Almost surely, 2121312223131 is an apocalyptic number.

121312223131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121312223131 is a deficient number, since it is larger than the sum of its proper divisors (20158722149).

121312223131 is a wasteful number, since it uses less digits than its factorization.

121312223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11847.

The product of its digits is 432, while the sum is 22.

Adding to 121312223131 its reverse (131322213121), we get a palindrome (252634436252).

It can be divided in two parts, 121312 and 223131, that added together give a palindrome (344443).

The spelling of 121312223131 in words is "one hundred twenty-one billion, three hundred twelve million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 11 19 71 209 743 781 1349 8173 11003 14117 14839 52753 121033 155287 209057 580283 781213 1002307 2299627 8175229 8593343 11025377 14843047 89927519 155329351 163273517 580441259 1708622861 6384853849 11028383921 121312223131