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3041019135 = 325731117911
BaseRepresentation
bin1011010101000010…
…0100010011111111
321211221012210000100
42311100210103333
522212000103020
61221431332143
7135234144000
oct26520442377
97757183010
103041019135
111320637760
1270a521053
13396046c0b
1420bc431a7
1512be97a90
hexb54244ff

3041019135 has 96 divisors (see below), whose sum is σ = 6706252800. Its totient is φ = 1263729600.

The previous prime is 3041019133. The next prime is 3041019167. The reversal of 3041019135 is 5319101403.

3041019135 is a `hidden beast` number, since 30 + 410 + 191 + 35 = 666.

It is not a de Polignac number, because 3041019135 - 21 = 3041019133 is a prime.

It is a super-2 number, since 2×30410191352 = 18495594758872296450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3041019099 and 3041019108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041019133) 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, 160830 + ... + 178740.

It is an arithmetic number, because the mean of its divisors is an integer number (69856800).

Almost surely, 23041019135 is an apocalyptic number.

3041019135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3041019135 is an abundant number, since it is smaller than the sum of its proper divisors (3665233665).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3041019135 is a wasteful number, since it uses less digits than its factorization.

3041019135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17954 (or 17937 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 3041019135 is about 55145.4362118934. The cubic root of 3041019135 is about 1448.7931511775.

It can be divided in two parts, 304101 and 9135, that added together give a triangular number (313236 = T791).

The spelling of 3041019135 in words is "three billion, forty-one million, nineteen thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 343 385 441 495 539 693 735 1029 1155 1617 1715 2205 2695 3087 3465 3773 4851 5145 8085 11319 15435 17911 18865 24255 33957 53733 56595 89555 125377 161199 169785 197021 268665 376131 591063 626885 805995 877639 985105 1128393 1379147 1773189 1880655 2632917 2955315 4137441 4388195 5641965 6143473 6895735 7898751 8865945 9654029 12412323 13164585 18430419 20687205 28962087 30717365 39493755 48270145 55291257 62061615 67578203 86886261 92152095 144810435 202734609 276456285 337891015 434431305 608203827 1013673045 3041019135