Search a number
-
+
12220230123131 = 967126191001447
BaseRepresentation
bin1011000111010011111001…
…1110011011111001111011
31121021020112211220112010112
42301310332132123321323
53100204012402420011
641553521325534535
72400611460121232
oct261647636337173
947236484815115
1012220230123131
113991630361a28
12145444241444b
136a8493c89a04
14303668769b19
15162d2241a58b
hexb1d3e79be7b

12220230123131 has 8 divisors (see below), whose sum is σ = 12233848999680. Its totient is φ = 12206613276648.

The previous prime is 12220230123107. The next prime is 12220230123137. The reversal of 12220230123131 is 13132103202221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220230123131 is a prime.

It is a super-2 number, since 2×122202301231312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220230123097 and 12220230123106.

It is not an unprimeable number, because it can be changed into a prime (12220230123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11701850 + ... + 12703296.

It is an arithmetic number, because the mean of its divisors is an integer number (1529231124960).

Almost surely, 212220230123131 is an apocalyptic number.

12220230123131 is a deficient number, since it is larger than the sum of its proper divisors (13618876549).

12220230123131 is a wasteful number, since it uses less digits than its factorization.

12220230123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015033.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12220230123131 its reverse (13132103202221), we get a palindrome (25352333325352).

The spelling of 12220230123131 in words is "twelve trillion, two hundred twenty billion, two hundred thirty million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 967 12619 1001447 12202573 968399249 12637259693 12220230123131