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13113433140 = 22351716697703
BaseRepresentation
bin11000011011001111…
…10001110000110100
31020211220020102110220
430031213301300310
5203324014330030
610005122214340
7642651225333
oct141547616064
936756212426
1013113433140
11561a211455
12265b7b43b0
13130ca398c2
148c5855d1a
1551b3aba10
hex30d9f1c34

13113433140 has 96 divisors (see below), whose sum is σ = 38905816320. Its totient is φ = 3288815616.

The previous prime is 13113433127. The next prime is 13113433211. The reversal of 13113433140 is 4133431131.

13113433140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13113433140.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1698529 + ... + 1706231.

It is an arithmetic number, because the mean of its divisors is an integer number (405268920).

Almost surely, 213113433140 is an apocalyptic number.

13113433140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452908160).

13113433140 is an abundant number, since it is smaller than the sum of its proper divisors (25792383180).

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

13113433140 is a wasteful number, since it uses less digits than its factorization.

13113433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13113433140 its reverse (4133431131), we get a palindrome (17246864271).

The spelling of 13113433140 in words is "thirteen billion, one hundred thirteen million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1669 3338 5007 6676 7703 8345 10014 15406 16690 20028 23109 25035 28373 30812 33380 38515 46218 50070 56746 77030 85119 92436 100140 113492 115545 130951 141865 154060 170238 231090 261902 283730 340476 392853 425595 462180 523804 567460 654755 785706 851190 1309510 1571412 1702380 1964265 2619020 3928530 7857060 12856307 25712614 38568921 51425228 64281535 77137842 128563070 154275684 192844605 218557219 257126140 385689210 437114438 655671657 771378420 874228876 1092786095 1311343314 2185572190 2622686628 3278358285 4371144380 6556716570 13113433140