Search a number
-
+
201011222222000 = 2453379265186309
BaseRepresentation
bin101101101101000110010010…
…011111110001010010110000
3222100201111002200122102120022
4231231012102133301102300
5202321331440342101000
61551303140343103012
760224403321346121
oct5555062237612260
9870644080572508
10201011222222000
1159059420657783
121a6653a3741a68
13882137a519c68
14378cdd0666048
151838b6ab3d585
hexb6d1927f14b0

201011222222000 has 80 divisors (see below), whose sum is σ = 487327578160800. Its totient is φ = 80192339539200.

The previous prime is 201011222221963. The next prime is 201011222222021. The reversal of 201011222222000 is 222222110102.

It is a happy number.

201011222222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2010112222220002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201011222222000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131835155 + ... + 133351154.

It is an arithmetic number, because the mean of its divisors is an integer number (6091594727010).

Almost surely, 2201011222222000 is an apocalyptic number.

201011222222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011222222000 is an abundant number, since it is smaller than the sum of its proper divisors (286316355938800).

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

201011222222000 is a wasteful number, since it uses less digits than its factorization.

201011222222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265186711 (or 265186695 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201011222222000 its reverse (222222110102), we get a palindrome (201233444332102).

The spelling of 201011222222000 in words is "two hundred one trillion, eleven billion, two hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 379 400 500 758 1000 1516 1895 2000 3032 3790 6064 7580 9475 15160 18950 30320 37900 47375 75800 94750 151600 189500 379000 758000 265186309 530372618 1060745236 1325931545 2121490472 2651863090 4242980944 5303726180 6629657725 10607452360 13259315450 21214904720 26518630900 33148288625 53037261800 66296577250 100505611111 106074523600 132593154500 201011222222 265186309000 402022444444 502528055555 530372618000 804044888888 1005056111110 1608089777776 2010112222220 2512640277775 4020224444440 5025280555550 8040448888880 10050561111100 12563201388875 20101122222200 25126402777750 40202244444400 50252805555500 100505611111000 201011222222000