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12011302314 = 232111916691913
BaseRepresentation
bin10110010111110110…
…11110110110101010
31011000002101101012200
423023323132312222
5144044343133224
65303511521030
7603436246044
oct131373366652
934002341180
1012011302314
115104081230
1223b2689176
1311955c109b
1481d320a94
154a47545c9
hex2cbededaa

12011302314 has 96 divisors (see below), whose sum is σ = 29918116800. Its totient is φ = 3444353280.

The previous prime is 12011302309. The next prime is 12011302319. The reversal of 12011302314 is 41320311021.

It is an interprime number because it is at equal distance from previous prime (12011302309) and next prime (12011302319).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12011302319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6277822 + ... + 6279734.

It is an arithmetic number, because the mean of its divisors is an integer number (311647050).

Almost surely, 212011302314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011302314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959058400).

12011302314 is an abundant number, since it is smaller than the sum of its proper divisors (17906814486).

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

12011302314 is a wasteful number, since it uses less digits than its factorization.

12011302314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12011302314 its reverse (41320311021), we get a palindrome (53331613335).

The spelling of 12011302314 in words is "twelve billion, eleven million, three hundred two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1669 1881 1913 3338 3762 3826 5007 5739 10014 11478 15021 17217 18359 21043 30042 31711 34434 36347 36718 42086 55077 63129 63422 72694 95133 109041 110154 126258 165231 189387 190266 218082 285399 327123 330462 348821 378774 399817 570798 654246 697642 799634 1046463 1199451 2092926 2398902 3139389 3192797 3598353 6278778 6385594 7196706 9578391 19156782 28735173 35120767 57470346 60663143 70241534 105362301 121326286 181989429 210724602 316086903 363978858 545968287 632173806 667294573 1091936574 1334589146 2001883719 4003767438 6005651157 12011302314