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122431311301 = 1321017172729
BaseRepresentation
bin111001000000101111…
…0011000110111000101
3102201000110010000121011
41302001132120313011
54001214403430201
6132124423522221
711562650655355
oct1620136306705
9381013100534
10122431311301
1147a17313302
121b889bb9371
13b711b16b00
145cd61d6b65
1532b8664151
hex1c81798dc5

122431311301 has 12 divisors (see below), whose sum is σ = 133886178180. Its totient is φ = 111894556800.

The previous prime is 122431311281. The next prime is 122431311311. The reversal of 122431311301 is 103113134221.

It can be written as a sum of positive squares in 6 ways, for example, as 8413659076 + 114017652225 = 91726^2 + 337665^2 .

It is not a de Polignac number, because 122431311301 - 213 = 122431303109 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 (122431311311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3569296 + ... + 3603433.

It is an arithmetic number, because the mean of its divisors is an integer number (11157181515).

Almost surely, 2122431311301 is an apocalyptic number.

It is an amenable number.

122431311301 is a deficient number, since it is larger than the sum of its proper divisors (11454866879).

122431311301 is a wasteful number, since it uses less digits than its factorization.

122431311301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172856 (or 7172843 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122431311301 its reverse (103113134221), we get a palindrome (225544445522).

The spelling of 122431311301 in words is "one hundred twenty-two billion, four hundred thirty-one million, three hundred eleven thousand, three hundred one".

Divisors: 1 13 101 169 1313 17069 7172729 93245477 724445629 1212191201 9417793177 122431311301