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113015133 = 327111753181
BaseRepresentation
bin1101011110001…
…11100101011101
321212122202121200
412233013211131
5212412441013
615114150113
72541420120
oct657074535
9255582550
10113015133
1158880a40
1231a22339
131a54c87a
141101c3b7
159dc5e73
hex6bc795d

113015133 has 96 divisors (see below), whose sum is σ = 220776192. Its totient is φ = 53913600.

The previous prime is 113015129. The next prime is 113015143. The reversal of 113015133 is 331510311.

It is not a de Polignac number, because 113015133 - 22 = 113015129 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113015113) 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 95 ways as a sum of consecutive naturals, for example, 624303 + ... + 624483.

It is an arithmetic number, because the mean of its divisors is an integer number (2299752).

Almost surely, 2113015133 is an apocalyptic number.

It is an amenable number.

113015133 is a deficient number, since it is larger than the sum of its proper divisors (107761059).

113015133 is a wasteful number, since it uses less digits than its factorization.

113015133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 113015133 is about 10630.8575853503. The cubic root of 113015133 is about 483.4803934063.

Adding to 113015133 its reverse (331510311), we get a palindrome (444525444).

The spelling of 113015133 in words is "one hundred thirteen million, fifteen thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 17 21 33 51 53 63 77 99 119 153 159 181 187 231 357 371 477 543 561 583 693 901 1071 1113 1267 1309 1629 1683 1749 1991 2703 3077 3339 3801 3927 4081 5247 5973 6307 8109 9231 9593 9911 11403 11781 12243 13937 17919 18921 21539 27693 28779 29733 33847 36729 41811 56763 64617 67151 69377 86337 89199 101541 105523 125433 163081 193851 201453 208131 236929 304623 316569 489243 604359 624393 710787 738661 949707 1141567 1467729 1793891 2132361 2215983 3424701 5381673 6647949 10274103 12557237 16145019 37671711 113015133