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12137533317 = 3371319377027
BaseRepresentation
bin10110100110111010…
…00000111110000101
31011022212220120121000
423103131000332011
5144324202031232
65324221243513
7606531221340
oct132335007605
934285816530
1012137533317
115169359478
122428a03599
1311b57ba1a0
14831dbd457
154b088b27c
hex2d3740f85

12137533317 has 128 divisors (see below), whose sum is σ = 23928934400. Its totient is φ = 5900491008.

The previous prime is 12137533259. The next prime is 12137533319. The reversal of 12137533317 is 71333573121.

12137533317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12137533317 - 212 = 12137529221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137533319) 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 127 ways as a sum of consecutive naturals, for example, 1723758 + ... + 1730784.

It is an arithmetic number, because the mean of its divisors is an integer number (186944800).

Almost surely, 212137533317 is an apocalyptic number.

It is an amenable number.

12137533317 is a deficient number, since it is larger than the sum of its proper divisors (11791401083).

12137533317 is a wasteful number, since it uses less digits than its factorization.

12137533317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112 (or 7106 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The spelling of 12137533317 in words is "twelve billion, one hundred thirty-seven million, five hundred thirty-three thousand, three hundred seventeen".

Divisors: 1 3 7 9 13 19 21 27 37 39 57 63 91 111 117 133 171 189 247 259 273 333 351 399 481 513 703 741 777 819 999 1197 1443 1729 2109 2223 2331 2457 3367 3591 4329 4921 5187 6327 6669 6993 7027 9139 10101 12987 14763 15561 18981 21081 27417 30303 44289 46683 49189 63243 63973 82251 90909 91351 132867 133513 147567 189729 191919 246753 259999 274053 400539 442701 575757 639457 779997 822159 934591 1201617 1328103 1727271 1735669 1819993 1918371 2339991 2466477 2803773 3379987 3604851 4939981 5207007 5459979 5755113 7019973 8411319 10139961 12149683 14819943 15621021 16379937 17265339 23659909 25233957 30419883 34579867 36449049 44459829 46863063 49139811 64219753 70979727 91259649 103739601 109347147 133379487 192659259 212939181 311218803 328041441 449538271 577977777 638817543 933656409 1348614813 1733933331 4045844439 12137533317