Search a number
-
+
13111340220 = 223251129228341
BaseRepresentation
bin11000011010111111…
…10010110010111100
31020211202022002112100
430031133302302330
5203323000341340
610005005305100
7642624360456
oct141537626274
936752262470
1013111340220
115619011a70
12265ab65190
13130c4860a4
148c546d2d6
1551b0e6830
hex30d7f2cbc

13111340220 has 144 divisors (see below), whose sum is σ = 44882903520. Its totient is φ = 3068889600.

The previous prime is 13111340213. The next prime is 13111340237. The reversal of 13111340220 is 2204311131.

13111340220 is a `hidden beast` number, since 1 + 311 + 134 + 0 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13111340193 and 13111340202.

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, 56751 + ... + 171590.

It is an arithmetic number, because the mean of its divisors is an integer number (311686830).

Almost surely, 213111340220 is an apocalyptic number.

13111340220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111340220 is an abundant number, since it is smaller than the sum of its proper divisors (31771563300).

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

13111340220 is a wasteful number, since it uses less digits than its factorization.

13111340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228396 (or 228391 counting only the distinct ones).

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

Adding to 13111340220 its reverse (2204311131), we get a palindrome (15315651351).

The spelling of 13111340220 in words is "thirteen billion, one hundred eleven million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 228341 456682 685023 913364 1141705 1370046 2055069 2283410 2511751 2740092 3425115 4110138 4566820 5023502 6621889 6850230 7535253 8220276 10047004 10275345 12558755 13243778 13700460 15070506 19865667 20550690 22605759 25117510 26487556 30141012 33109445 37676265 39731334 41101380 45211518 50235020 59597001 66218890 72840779 75352530 79462668 90423036 99328335 113028795 119194002 132437780 145681558 150705060 198656670 218522337 226057590 238388004 291363116 297985005 364203895 397313340 437044674 452115180 595970010 655567011 728407790 874089348 1092611685 1191940020 1311134022 1456815580 2185223370 2622268044 3277835055 4370446740 6555670110 13111340220