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12013301133 = 3319313172383
BaseRepresentation
bin10110011000000110…
…00110110110001101
31011000020010221002000
423030003012312031
5144100401114013
65304022422513
7603462242361
oct131403066615
934006127060
1012013301133
115105216a49
1223b3291a39
131195b40b12
1481d6c12a1
154a49eb973
hex2cc0c6d8d

12013301133 has 64 divisors (see below), whose sum is σ = 19407667200. Its totient is φ = 7316360640.

The previous prime is 12013301119. The next prime is 12013301161. The reversal of 12013301133 is 33110331021.

It is a happy number.

12013301133 is a `hidden beast` number, since 1 + 201 + 330 + 1 + 133 = 666.

It is not a de Polignac number, because 12013301133 - 25 = 12013301101 is a prime.

It is a super-2 number, since 2×120133011332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013301173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5040060 + ... + 5042442.

It is an arithmetic number, because the mean of its divisors is an integer number (303244800).

Almost surely, 212013301133 is an apocalyptic number.

It is an amenable number.

12013301133 is a deficient number, since it is larger than the sum of its proper divisors (7394366067).

12013301133 is a wasteful number, since it uses less digits than its factorization.

12013301133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12013301133 its reverse (33110331021), we get a palindrome (45123632154).

The spelling of 12013301133 in words is "twelve billion, thirteen million, three hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 19 27 31 57 93 171 279 317 513 589 837 951 1767 2383 2853 5301 6023 7149 8559 9827 15903 18069 21447 29481 45277 54207 64341 73873 88443 135831 162621 186713 221619 265329 407493 560139 664857 755411 1222479 1403587 1680417 1994571 2266233 4210761 5041251 6798699 12632283 14352809 20396097 23417741 37896849 43058427 70253223 129175281 210759669 387525843 444937079 632279007 1334811237 4004433711 12013301133