Search a number
-
+
223130001013261 is a prime number
BaseRepresentation
bin110010101110111110000000…
…011100101111101000001101
31002021001000112102012120020021
4302232332000130233220031
5213221230220224411021
62110320301332022141
764666416301101136
oct6256760034575015
91067030472176207
10223130001013261
11651069a16484a1
1221038109a61951
1397670b82405a4
143d1579a428c8d
151abe1cb62cc41
hexcaef8072fa0d

223130001013261 has 2 divisors, whose sum is σ = 223130001013262. Its totient is φ = 223130001013260.

The previous prime is 223130001013253. The next prime is 223130001013357. The reversal of 223130001013261 is 162310100031322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216078798745161 + 7051202268100 = 14699619^2 + 2655410^2 .

It is a cyclic number.

It is not a de Polignac number, because 223130001013261 - 23 = 223130001013253 is a prime.

It is a super-3 number, since 3×2231300010132613 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223130001013961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565000506630 + 111565000506631.

It is an arithmetic number, because the mean of its divisors is an integer number (111565000506631).

Almost surely, 2223130001013261 is an apocalyptic number.

It is an amenable number.

223130001013261 is a deficient number, since it is larger than the sum of its proper divisors (1).

223130001013261 is an equidigital number, since it uses as much as digits as its factorization.

223130001013261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 223130001013261 its reverse (162310100031322), we get a palindrome (385440101044583).

The spelling of 223130001013261 in words is "two hundred twenty-three trillion, one hundred thirty billion, one million, thirteen thousand, two hundred sixty-one".