Search a number
-
+
12000022102110 = 2357292777113527
BaseRepresentation
bin1010111010011111100100…
…0011100000000001011110
31120111012011011200000012010
42232213321003200001132
53033102021124231420
641304422315452050
72345654506615110
oct256477103400136
946435134600163
1012000022102110
1139071a9700509
121419827157026
1369079c15aa63
142d6b388d33b0
1515c234d394e0
hexae9f90e005e

12000022102110 has 128 divisors (see below), whose sum is σ = 34172250347520. Its totient is φ = 2638719788544.

The previous prime is 12000022102009. The next prime is 12000022102127. The reversal of 12000022102110 is 1120122000021.

It is a super-2 number, since 2×120000221021102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869834 + ... + 5243693.

It is an arithmetic number, because the mean of its divisors is an integer number (266970705840).

Almost surely, 212000022102110 is an apocalyptic number.

12000022102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000022102110 is an abundant number, since it is smaller than the sum of its proper divisors (22172228245410).

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

12000022102110 is a wasteful number, since it uses less digits than its factorization.

12000022102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7113850.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000022102110 its reverse (1120122000021), we get a palindrome (13120144102131).

The spelling of 12000022102110 in words is "twelve trillion, twenty-two million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 277 290 406 435 554 609 831 870 1015 1218 1385 1662 1939 2030 2770 3045 3878 4155 5817 6090 8033 8310 9695 11634 16066 19390 24099 29085 40165 48198 56231 58170 80330 112462 120495 168693 240990 281155 337386 562310 843465 1686930 7113527 14227054 21340581 35567635 42681162 49794689 71135270 99589378 106702905 149384067 206292283 213405810 248973445 298768134 412584566 497946890 618876849 746920335 1031461415 1237753698 1444045981 1493840670 1970446979 2062922830 2888091962 3094384245 3940893958 4332137943 5911340937 6188768490 7220229905 8664275886 9852234895 11822681874 13793128853 14440459810 19704469790 21660689715 27586257706 29556704685 41379386559 43321379430 57142962391 59113409370 68965644265 82758773118 114285924782 137931288530 171428887173 206896932795 285714811955 342857774346 400000736737 413793865590 571429623910 800001473474 857144435865 1200002210211 1714288871730 2000003683685 2400004420422 4000007367370 6000011051055 12000022102110