Search a number
-
+
122212212200010 = 23451131335214817
BaseRepresentation
bin11011110010011010111111…
…011111101101001001001010
3121000201101002012022121110000
4123302122333133231021022
5112004311102310400020
61111531303141503430
734512353355502002
oct3362327737551112
9530641065277400
10122212212200010
1135a389a97a2879
1211859666711b76
1353267400b105a
142227161899002
15e1e047c92090
hex6f26bf7ed24a

122212212200010 has 80 divisors (see below), whose sum is σ = 331523157590856. Its totient is φ = 32301516828672.

The previous prime is 122212212199951. The next prime is 122212212200011. The reversal of 122212212200010 is 10002212212221.

It is a happy number.

122212212200010 is a `hidden beast` number, since 1 + 2 + 221 + 221 + 220 + 0 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54948610529289 + 67263601670721 = 7412733^2 + 8201439^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122212212200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 667515879 + ... + 667698938.

Almost surely, 2122212212200010 is an apocalyptic number.

122212212200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122212212200010 is an abundant number, since it is smaller than the sum of its proper divisors (209310945390846).

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

122212212200010 is a wasteful number, since it uses less digits than its factorization.

122212212200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335214949 (or 1335214940 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122212212200010 its reverse (10002212212221), we get a palindrome (132214424412231).

The spelling of 122212212200010 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred twelve million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 226 270 339 405 565 678 810 1017 1130 1695 2034 3051 3390 5085 6102 9153 10170 15255 18306 30510 45765 91530 1335214817 2670429634 4005644451 6676074085 8011288902 12016933353 13352148170 20028222255 24033866706 36050800059 40056444510 60084666765 72101600118 108152400177 120169333530 150879274321 180254000295 216304800354 301758548642 360508000590 452637822963 540762000885 754396371605 905275645926 1081524001770 1357913468889 1508792743210 2263189114815 2715826937778 4073740406667 4526378229630 6789567344445 8147480813334 12221221220001 13579134688890 20368702033335 24442442440002 40737404066670 61106106100005 122212212200010