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122011110013 = 139385470001
BaseRepresentation
bin111000110100001101…
…1011100101001111101
3102122221011102120210111
41301220123130221331
53444334321010023
6132015013310021
711546356215622
oct1615033345175
9378834376714
10122011110013
11478210aa911
121b791335311
13b675a515b0
145c96494349
15329181000d
hex1c686dca7d

122011110013 has 4 divisors (see below), whose sum is σ = 131396580028. Its totient is φ = 112625640000.

The previous prime is 122011109999. The next prime is 122011110041. The reversal of 122011110013 is 310011110221.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34017006969 + 87994103044 = 184437^2 + 296638^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011110013 - 221 = 122009012861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 9385470001 = 122011110013 / (1 + 2 + 2 + 0 + 1 + 1 + 1 + 1 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122011109975 and 122011110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011110043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4692734988 + ... + 4692735013.

It is an arithmetic number, because the mean of its divisors is an integer number (32849145007).

Almost surely, 2122011110013 is an apocalyptic number.

122011110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122011110013 is a deficient number, since it is larger than the sum of its proper divisors (9385470015).

122011110013 is an equidigital number, since it uses as much as digits as its factorization.

122011110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385470014.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 122011110013 its reverse (310011110221), we get a palindrome (432022220234).

The spelling of 122011110013 in words is "one hundred twenty-two billion, eleven million, one hundred ten thousand, thirteen".

Divisors: 1 13 9385470001 122011110013