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113301141 = 3173797619
BaseRepresentation
bin1101100000011…
…01011010010101
321220012021221120
412300031122111
5213001114031
615124234153
72544021012
oct660153225
9256167846
10113301141
1158a56908
1231b3b959
131a61cac5
1411094709
159e30a96
hex6c0d695

113301141 has 32 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 68345856.

The previous prime is 113301131. The next prime is 113301157. The reversal of 113301141 is 141103311.

It is not a de Polignac number, because 113301141 - 215 = 113268373 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113301141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113301131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182730 + ... + 183348.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2113301141 is an apocalyptic number.

It is an amenable number.

113301141 is a deficient number, since it is larger than the sum of its proper divisors (52938219).

113301141 is a wasteful number, since it uses less digits than its factorization.

113301141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 113301141 is about 10644.3008694794. The cubic root of 113301141 is about 483.8878986444.

Adding to 113301141 its reverse (141103311), we get a palindrome (254404452).

The spelling of 113301141 in words is "one hundred thirteen million, three hundred one thousand, one hundred forty-one".

Divisors: 1 3 17 37 51 97 111 291 619 629 1649 1857 1887 3589 4947 10523 10767 22903 31569 60043 61013 68709 180129 183039 389351 1020731 1168053 2221591 3062193 6664773 37767047 113301141