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122213521013 is a prime number
BaseRepresentation
bin111000111010001111…
…1100101011001110101
3102200110021022010111012
41301310133211121311
54000243130133023
6132051043522005
711554364534303
oct1616437453165
9380407263435
10122213521013
114791538a231
121b829089305
13b6a897110c
145cb5303273
1532a4493978
hex1c747e5675

122213521013 has 2 divisors, whose sum is σ = 122213521014. Its totient is φ = 122213521012.

The previous prime is 122213520983. The next prime is 122213521021. The reversal of 122213521013 is 310125312221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98921572324 + 23291948689 = 314518^2 + 152617^2 .

It is a cyclic number.

It is not a de Polignac number, because 122213521013 - 224 = 122196743797 is a prime.

It is a super-2 number, since 2×1222135210132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122213521013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122213521043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106760506 + 61106760507.

It is an arithmetic number, because the mean of its divisors is an integer number (61106760507).

Almost surely, 2122213521013 is an apocalyptic number.

It is an amenable number.

122213521013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122213521013 is an equidigital number, since it uses as much as digits as its factorization.

122213521013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 122213521013 its reverse (310125312221), we get a palindrome (432338833234).

The spelling of 122213521013 in words is "one hundred twenty-two billion, two hundred thirteen million, five hundred twenty-one thousand, thirteen".