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122232210113 = 13291572065117
BaseRepresentation
bin111000111010110011…
…0111000001011000001
3102200111120110122010002
41301311212320023001
54000312421210423
6132052552245345
711555012433416
oct1616546701301
9380446418102
10122232210113
1147924994672
121b8333a0855
13b6ac7b5960
145cb79aa10d
1532a5e36228
hex1c759b82c1

122232210113 has 16 divisors (see below), whose sum is σ = 137041230480. Its totient is φ = 108245120256.

The previous prime is 122232210083. The next prime is 122232210127. The reversal of 122232210113 is 311012232221.

It can be written as a sum of positive squares in 8 ways, for example, as 4560571024 + 117671639089 = 67532^2 + 343033^2 .

It is not a de Polignac number, because 122232210113 - 26 = 122232210049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122232218113) 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, 973370 + ... + 1091747.

It is an arithmetic number, because the mean of its divisors is an integer number (8565076905).

Almost surely, 2122232210113 is an apocalyptic number.

122232210113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122232210113 is a deficient number, since it is larger than the sum of its proper divisors (14809020367).

122232210113 is a wasteful number, since it uses less digits than its factorization.

122232210113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065316.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122232210113 its reverse (311012232221), we get a palindrome (433244442334).

The spelling of 122232210113 in words is "one hundred twenty-two billion, two hundred thirty-two million, two hundred ten thousand, one hundred thirteen".

Divisors: 1 13 29 157 377 2041 4553 59189 2065117 26846521 59888393 324223369 778549109 4214903797 9402477701 122232210113