Search a number
-
+
113032131221 is a prime number
BaseRepresentation
bin110100101000100111…
…1010111001010010101
3101210202101220012110102
41221101033113022111
53322442211144341
6123532022503445
711111020156112
oct1512117271225
9353671805412
10113032131221
1143a33767189
1219aa6294b85
13a8747514a9
145683b91909
152e183d6c9b
hex1a513d7295

113032131221 has 2 divisors, whose sum is σ = 113032131222. Its totient is φ = 113032131220.

The previous prime is 113032131217. The next prime is 113032131229. The reversal of 113032131221 is 122131230311.

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., 92385602500 + 20646528721 = 303950^2 + 143689^2 .

It is an emirp because it is prime and its reverse (122131230311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113032131221 - 22 = 113032131217 is a prime.

It is a super-2 number, since 2×1130321312212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113032131193 and 113032131202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113032131229) 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 as a sum of consecutive naturals, namely, 56516065610 + 56516065611.

It is an arithmetic number, because the mean of its divisors is an integer number (56516065611).

Almost surely, 2113032131221 is an apocalyptic number.

It is an amenable number.

113032131221 is a deficient number, since it is larger than the sum of its proper divisors (1).

113032131221 is an equidigital number, since it uses as much as digits as its factorization.

113032131221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113032131221 its reverse (122131230311), we get a palindrome (235163361532).

The spelling of 113032131221 in words is "one hundred thirteen billion, thirty-two million, one hundred thirty-one thousand, two hundred twenty-one".