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113614281 = 32112172192
BaseRepresentation
bin1101100010110…
…01110111001001
321220210012111100
412301121313021
5213041124111
615135052013
72546463654
oct661316711
9256705440
10113614281
1159150100
1232071009
131a6cc4b1
141113689b
159e93756
hex6c59dc9

113614281 has 81 divisors (see below), whose sum is σ = 202235943. Its totient is φ = 61395840.

The previous prime is 113614279. The next prime is 113614283. The reversal of 113614281 is 182416311.

It is a happy number.

The square root of 113614281 is 10659.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (113614279) and next prime (113614283).

It can be written as a sum of positive squares in only one way, i.e., 88454025 + 25160256 = 9405^2 + 5016^2 .

It is not a de Polignac number, because 113614281 - 21 = 113614279 is a prime.

It is a super-2 number, since 2×1136142812 = 25816409694293922, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (113614283) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5979690 + ... + 5979708.

Almost surely, 2113614281 is an apocalyptic number.

113614281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113614281 is the 10659-th square number.

113614281 is the 5330-th centered octagonal number.

It is an amenable number.

113614281 is a deficient number, since it is larger than the sum of its proper divisors (88621662).

113614281 is a wasteful number, since it uses less digits than its factorization.

113614281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The cubic root of 113614281 is about 484.3332759676. Note that the first 3 decimals are identical.

The spelling of 113614281 in words is "one hundred thirteen million, six hundred fourteen thousand, two hundred eighty-one".

Divisors: 1 3 9 11 17 19 33 51 57 99 121 153 171 187 209 289 323 361 363 561 627 867 969 1083 1089 1683 1881 2057 2299 2601 2907 3179 3249 3553 3971 5491 6137 6171 6897 9537 10659 11913 16473 18411 18513 20691 28611 31977 34969 35739 39083 43681 49419 55233 60401 67507 104329 104907 117249 131043 181203 202521 312987 314721 351747 393129 543609 607563 664411 742577 938961 1147619 1993233 2227731 3442857 5979699 6683193 10328571 12623809 37871427 113614281