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221011012012 = 22756314479689
BaseRepresentation
bin1100110111010101001…
…0000110100110101100
3210010110122012200111111
43031311102012212230
512110112304341022
6245310413001404
721652600414540
oct3156522064654
9703418180444
10221011012012
1185803a5553a
1236a00183264
1317ac22bb36b
14a9a877da20
155b37d49477
hex33754869ac

221011012012 has 48 divisors (see below), whose sum is σ = 443158894080. Its totient is φ = 94475670912.

The previous prime is 221011011983. The next prime is 221011012069. The reversal of 221011012012 is 210210110122.

221011012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221011011983 and 221011012001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22805664 + ... + 22815352.

It is an arithmetic number, because the mean of its divisors is an integer number (9232476960).

Almost surely, 2221011012012 is an apocalyptic number.

It is an amenable number.

221011012012 is an abundant number, since it is smaller than the sum of its proper divisors (222147882068).

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

221011012012 is a wasteful number, since it uses less digits than its factorization.

221011012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11710 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221011012012 its reverse (210210110122), we get a palindrome (431221122134).

The spelling of 221011012012 in words is "two hundred twenty-one billion, eleven million, twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 563 1126 1447 2252 2894 3941 5788 7882 9689 10129 15764 19378 20258 38756 40516 67823 135646 271292 814661 1629322 3258644 5454907 5702627 10909814 11405254 14019983 21819628 22810508 28039966 38184349 56079932 76368698 98139881 152737396 196279762 392559524 7893250429 15786500858 31573001716 55252753003 110505506006 221011012012