Search a number
-
+
122302144381 is a prime number
BaseRepresentation
bin111000111100111000…
…1101001111101111101
3102200200110001122220011
41301321301221331331
54000433322110011
6132103531223221
711556522034414
oct1617161517575
9380613048804
10122302144381
114796041028a
121b8528a7b11
13b6c1130591
145cc2db247b
1532ac14c621
hex1c79c69f7d

122302144381 has 2 divisors, whose sum is σ = 122302144382. Its totient is φ = 122302144380.

The previous prime is 122302144361. The next prime is 122302144387. The reversal of 122302144381 is 183441203221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84763081881 + 37539062500 = 291141^2 + 193750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122302144381 is a prime.

It is a super-2 number, since 2×1223021443812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122302144387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61151072190 + 61151072191.

It is an arithmetic number, because the mean of its divisors is an integer number (61151072191).

Almost surely, 2122302144381 is an apocalyptic number.

It is an amenable number.

122302144381 is a deficient number, since it is larger than the sum of its proper divisors (1).

122302144381 is an equidigital number, since it uses as much as digits as its factorization.

122302144381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 122302144381 in words is "one hundred twenty-two billion, three hundred two million, one hundred forty-four thousand, three hundred eighty-one".