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122132162113 = 1331330015277
BaseRepresentation
bin111000110111110100…
…1001110011001000001
3102200020121012200001121
41301233221032121001
54000111313141423
6132035020032241
711552356151323
oct1615751163101
9380217180047
10122132162113
1147883470075
121b805992681
13b694b56360
145ca85a5613
15329c27245d
hex1c6fa4e641

122132162113 has 8 divisors (see below), whose sum is σ = 131947162088. Its totient is φ = 112377193344.

The previous prime is 122132162083. The next prime is 122132162179. The reversal of 122132162113 is 311261231221.

It can be written as a sum of positive squares in 4 ways, for example, as 19300989184 + 102831172929 = 138928^2 + 320673^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-122132162113 is a prime.

It is a super-2 number, since 2×1221321621132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122132162813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15003570 + ... + 15011707.

It is an arithmetic number, because the mean of its divisors is an integer number (16493395261).

Almost surely, 2122132162113 is an apocalyptic number.

122132162113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122132162113 is a deficient number, since it is larger than the sum of its proper divisors (9814999975).

122132162113 is a wasteful number, since it uses less digits than its factorization.

122132162113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30015603.

The product of its digits is 864, while the sum is 25.

Adding to 122132162113 its reverse (311261231221), we get a palindrome (433393393334).

The spelling of 122132162113 in words is "one hundred twenty-two billion, one hundred thirty-two million, one hundred sixty-two thousand, one hundred thirteen".

Divisors: 1 13 313 4069 30015277 390198601 9394781701 122132162113