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122542352153 = 1321374411013
BaseRepresentation
bin111001000100000010…
…1111110011100011001
3102201022012001111000022
41302020011332130121
54001431320232103
6132143431520225
711565466543544
oct1621005763431
9381265044008
10122542352153
1147a73a65a01
121b8bb229075
13b72bb24b60
145d06c5d85b
1532c329a138
hex1c8817e719

122542352153 has 8 divisors (see below), whose sum is σ = 132030471048. Its totient is φ = 113063059584.

The previous prime is 122542352143. The next prime is 122542352171. The reversal of 122542352153 is 351253245221.

It can be written as a sum of positive squares in 4 ways, for example, as 8006133529 + 114536218624 = 89477^2 + 338432^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122542352153 - 228 = 122273916697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122542352113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2177726 + ... + 2233287.

It is an arithmetic number, because the mean of its divisors is an integer number (16503808881).

Almost surely, 2122542352153 is an apocalyptic number.

122542352153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122542352153 is a deficient number, since it is larger than the sum of its proper divisors (9488118895).

122542352153 is a wasteful number, since it uses less digits than its factorization.

122542352153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413163.

The product of its digits is 72000, while the sum is 35.

Adding to 122542352153 its reverse (351253245221), we get a palindrome (473795597374).

The spelling of 122542352153 in words is "one hundred twenty-two billion, five hundred forty-two million, three hundred fifty-two thousand, one hundred fifty-three".

Divisors: 1 13 2137 27781 4411013 57343169 9426334781 122542352153