Search a number
-
+
12002102212110 = 2357315136294119
BaseRepresentation
bin1010111010100111010100…
…0010011111011000001110
31120111101112010202112200020
42232221311002133120032
53033120301131241420
641305404543443010
72346060165351543
oct256516502373016
946441463675606
1012002102212110
11390807689398a
12141a1078b6466
13690a410a358a
142d6c94c82bca
1515c307773340
hexaea7509f60e

12002102212110 has 64 divisors (see below), whose sum is σ = 29393010846720. Its totient is φ = 3135811795200.

The previous prime is 12002102212043. The next prime is 12002102212117. The reversal of 12002102212110 is 1121220120021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12002102212110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002102212117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17816370 + ... + 18477749.

It is an arithmetic number, because the mean of its divisors is an integer number (459265794480).

Almost surely, 212002102212110 is an apocalyptic number.

12002102212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002102212110 is an abundant number, since it is smaller than the sum of its proper divisors (17390908634610).

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

12002102212110 is a wasteful number, since it uses less digits than its factorization.

12002102212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36294353.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002102212110 its reverse (1121220120021), we get a palindrome (13123322332131).

The spelling of 12002102212110 in words is "twelve trillion, two billion, one hundred two million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 151 219 302 365 438 453 730 755 906 1095 1510 2190 2265 4530 11023 22046 33069 55115 66138 110230 165345 330690 36294119 72588238 108882357 181470595 217764714 362941190 544411785 1088823570 2649470687 5298941374 5480411969 7948412061 10960823938 13247353435 15896824122 16441235907 26494706870 27402059845 32882471814 39742060305 54804119690 79484120610 82206179535 164412359070 400070073737 800140147474 1200210221211 2000350368685 2400420442422 4000700737370 6001051106055 12002102212110