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122111130313 is a prime number
BaseRepresentation
bin111000110111001100…
…0111111101011001001
3102200012010122010212001
41301232120333223021
54000040422132223
6132032545151001
711552012324164
oct1615630775311
9380163563761
10122111130313
1147872605617
121b7ba92b461
13b6906a13c3
145ca588cadb
15329a4ba9ad
hex1c6e63fac9

122111130313 has 2 divisors, whose sum is σ = 122111130314. Its totient is φ = 122111130312.

The previous prime is 122111130307. The next prime is 122111130329. The reversal of 122111130313 is 313031111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119306686464 + 2804443849 = 345408^2 + 52957^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122111130313 is a prime.

It is a super-2 number, since 2×1221111303132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111130353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055565156 + 61055565157.

It is an arithmetic number, because the mean of its divisors is an integer number (61055565157).

Almost surely, 2122111130313 is an apocalyptic number.

It is an amenable number.

122111130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111130313 is an equidigital number, since it uses as much as digits as its factorization.

122111130313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 122111130313 its reverse (313031111221), we get a palindrome (435142241534).

The spelling of 122111130313 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred thirty thousand, three hundred thirteen".