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113022131101 = 111710140114923
BaseRepresentation
bin110100101000010100…
…1001101101110011101
3101210201201002010212121
41221100221031232131
53322432131143401
6123531024302541
711110536156205
oct1512051155635
9353651063777
10113022131101
1143a29056a20
1219aa2a71a51
13a87265c869
14568270b405
152e175adca1
hex1a50a4db9d

113022131101 has 32 divisors (see below), whose sum is σ = 132179838336. Its totient is φ = 95500800000.

The previous prime is 113022131069. The next prime is 113022131129. The reversal of 113022131101 is 101131220311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 113022131101 - 25 = 113022131069 is a prime.

It is a super-2 number, since 2×1130221311012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022131171) 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 31 ways as a sum of consecutive naturals, for example, 7566226 + ... + 7581148.

It is an arithmetic number, because the mean of its divisors is an integer number (4130619948).

Almost surely, 2113022131101 is an apocalyptic number.

113022131101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113022131101 is a deficient number, since it is larger than the sum of its proper divisors (19157707235).

113022131101 is a wasteful number, since it uses less digits than its factorization.

113022131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15453.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113022131101 its reverse (101131220311), we get a palindrome (214153351412).

The spelling of 113022131101 in words is "one hundred thirteen billion, twenty-two million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 11 17 101 187 401 1111 1717 4411 6817 14923 18887 40501 74987 164153 253691 445511 688517 1507223 2790601 5984123 7573687 16579453 25622791 65825353 101730091 281850701 604396423 1119031001 6648360653 10274739191 113022131101