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13133134140 = 22357269116243
BaseRepresentation
bin11000011101100101…
…11011100100111100
31020220021022100011120
430032302323210330
5203344040243030
610011104350540
7643310540550
oct141662734474
936807270146
1013133134140
11562a348075
122666315450
131313b46bb9
148c8303860
1551ce9e010
hex30ecbb93c

13133134140 has 96 divisors (see below), whose sum is σ = 42182622720. Its totient is φ = 2990674176.

The previous prime is 13133134139. The next prime is 13133134169. The reversal of 13133134140 is 4143133131.

It is a self number, because there is not a number n which added to its sum of digits gives 13133134140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54859 + ... + 171101.

It is an arithmetic number, because the mean of its divisors is an integer number (439402320).

Almost surely, 213133134140 is an apocalyptic number.

13133134140 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 13133134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091311360).

13133134140 is an abundant number, since it is smaller than the sum of its proper divisors (29049488580).

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

13133134140 is a wasteful number, since it uses less digits than its factorization.

13133134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116531 (or 116529 counting only the distinct ones).

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

Adding to 13133134140 its reverse (4143133131), we get a palindrome (17276267271).

The spelling of 13133134140 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 269 420 538 807 1076 1345 1614 1883 2690 3228 3766 4035 5380 5649 7532 8070 9415 11298 16140 18830 22596 28245 37660 56490 112980 116243 232486 348729 464972 581215 697458 813701 1162430 1394916 1627402 1743645 2324860 2441103 3254804 3487290 4068505 4882206 6974580 8137010 9764412 12205515 16274020 24411030 31269367 48822060 62538734 93808101 125077468 156346835 187616202 218885569 312693670 375232404 437771138 469040505 625387340 656656707 875542276 938081010 1094427845 1313313414 1876162020 2188855690 2626626828 3283283535 4377711380 6566567070 13133134140