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113110101 = 3413163659
BaseRepresentation
bin1101011110111…
…10110001010101
321212211120220000
412233132301111
5212424010401
615120201513
72542264026
oct657366125
9255746800
10113110101
1158936325
1231a69299
131a583b70
1411044c4d
159de4186
hex6bdec55

113110101 has 40 divisors (see below), whose sum is σ = 183358560. Its totient is φ = 69074208.

The previous prime is 113110093. The next prime is 113110157. The reversal of 113110101 is 101011311.

It is not a de Polignac number, because 113110101 - 23 = 113110093 is a prime.

It is a super-3 number, since 3×1131101013 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113110801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171310 + ... + 171968.

It is an arithmetic number, because the mean of its divisors is an integer number (4583964).

Almost surely, 2113110101 is an apocalyptic number.

It is an amenable number.

113110101 is a deficient number, since it is larger than the sum of its proper divisors (70248459).

113110101 is a wasteful number, since it uses less digits than its factorization.

113110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 113110101 is about 10635.3232673013. The cubic root of 113110101 is about 483.6157803223.

Adding to 113110101 its reverse (101011311), we get a palindrome (214121412).

The spelling of 113110101 in words is "one hundred thirteen million, one hundred ten thousand, one hundred one".

Divisors: 1 3 9 13 27 39 81 117 163 351 489 659 1053 1467 1977 2119 4401 5931 6357 8567 13203 17793 19071 25701 53379 57213 77103 107417 171639 231309 322251 693927 966753 1396421 2900259 4189263 8700777 12567789 37703367 113110101