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122345011304221 = 2910950976040329
BaseRepresentation
bin11011110100010110101010…
…111100000101011100011101
3121001012001212012021002012011
4123310112222330011130131
5112014000040343213341
61112112304451311221
734525064301324016
oct3364265274053435
9531161765232164
10122345011304221
1135a8a256398372
121187b3488ab511
135336114b5b164
14222d75c9d400d
15e2271b714b81
hex6f45aaf0571d

122345011304221 has 16 divisors (see below), whose sum is σ = 127975875390000. Its totient is φ = 116812543550976.

The previous prime is 122345011304183. The next prime is 122345011304233. The reversal of 122345011304221 is 122403110543221.

It can be written as a sum of positive squares in 8 ways, for example, as 198550448100 + 122146460856121 = 445590^2 + 11051989^2 .

It is a cyclic number.

It is not a de Polignac number, because 122345011304221 - 225 = 122344977749789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122345011304261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36411216 + ... + 39629113.

It is an arithmetic number, because the mean of its divisors is an integer number (7998492211875).

Almost surely, 2122345011304221 is an apocalyptic number.

It is an amenable number.

122345011304221 is a deficient number, since it is larger than the sum of its proper divisors (5630864085779).

122345011304221 is a wasteful number, since it uses less digits than its factorization.

122345011304221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76040976.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 122345011304221 its reverse (122403110543221), we get a palindrome (244748121847442).

The spelling of 122345011304221 in words is "one hundred twenty-two trillion, three hundred forty-five billion, eleven million, three hundred four thousand, two hundred twenty-one".

Divisors: 1 29 109 509 3161 14761 55481 1608949 76040329 2205169541 8288395861 38704527461 240363479969 1122431296369 4218793493249 122345011304221