Search a number
-
+
12034210311342 = 232101103223728729
BaseRepresentation
bin1010111100011110111011…
…0101001010110010101110
31120121110101210210222112200
42233013232311022302232
53034132030314430332
641332235003442330
72351304643606362
oct257075665126256
946543353728480
1012034210311342
11391a752a9808a
1214243888263a6
13693a8a130b6b
142d865d2852a2
1515d0864b417c
hexaf1eed4acae

12034210311342 has 96 divisors (see below), whose sum is σ = 26600746610880. Its totient is φ = 3931231449600.

The previous prime is 12034210311329. The next prime is 12034210311377. The reversal of 12034210311342 is 24311301243021.

12034210311342 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 4 + 2 + 1 + 0 + 311 + 342 = 666.

It is a super-3 number, since 3×120342103113423 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418872834 + ... + 418901562.

It is an arithmetic number, because the mean of its divisors is an integer number (277091110530).

Almost surely, 212034210311342 is an apocalyptic number.

12034210311342 is an abundant number, since it is smaller than the sum of its proper divisors (14566536299538).

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

12034210311342 is a wasteful number, since it uses less digits than its factorization.

12034210311342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31178 (or 31175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12034210311342 its reverse (24311301243021), we get a palindrome (36345511554363).

The spelling of 12034210311342 in words is "twelve trillion, thirty-four billion, two hundred ten million, three hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 101 103 202 206 303 309 606 618 909 927 1818 1854 2237 4474 6711 10403 13422 20133 20806 28729 31209 40266 57458 62418 86187 93627 172374 187254 225937 230411 258561 451874 460822 517122 677811 691233 1355622 1382466 2033433 2073699 2901629 2959087 4066866 4147398 5803258 5918174 8704887 8877261 17409774 17754522 23271511 26114661 26631783 46543022 52229322 53263566 64266773 69814533 128533546 139629066 192800319 209443599 298867787 385600638 418887198 578400957 597735574 896603361 1156801914 1793206722 2689810083 5379620166 6490944073 6619477619 12981888146 13238955238 19472832219 19858432857 38945664438 39716865714 58418496657 59575298571 116836993314 119150597142 668567239519 1337134479038 2005701718557 4011403437114 6017105155671 12034210311342