Search a number
-
+
21122210011012 = 2211678386324443
BaseRepresentation
bin1001100110101111001011…
…10100110001011110000100
32202210021010010120201210221
410303113211310301132010
510232031241230323022
6112531224225154124
74310013024516055
oct463274564613604
982707103521727
1021122210011012
116803973995030
12245176148b944
13ba2a7b591b56
1453046b33272c
152696855eacc7
hex1335e5d31784

21122210011012 has 48 divisors (see below), whose sum is σ = 41419158826752. Its totient is φ = 9343757602080.

The previous prime is 21122210011009. The next prime is 21122210011013. The reversal of 21122210011012 is 21011001222112.

It is a super-2 number, since 2×211222100110122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122210011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42917538 + ... + 43406905.

It is an arithmetic number, because the mean of its divisors is an integer number (862899142224).

Almost surely, 221122210011012 is an apocalyptic number.

21122210011012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122210011012 is a deficient number, since it is larger than the sum of its proper divisors (20296948815740).

21122210011012 is a wasteful number, since it uses less digits than its factorization.

21122210011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86324608 (or 86324606 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21122210011012 its reverse (21011001222112), we get a palindrome (42133211233124).

The spelling of 21122210011012 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, eleven thousand, twelve".

Divisors: 1 2 4 11 22 44 67 83 134 166 268 332 737 913 1474 1826 2948 3652 5561 11122 22244 61171 122342 244684 86324443 172648886 345297772 949568873 1899137746 3798275492 5783737681 7164928769 11567475362 14329857538 23134950724 28659715076 63621114491 78814216459 127242228982 157628432918 254484457964 315256865836 480050227523 960100455046 1920200910092 5280552502753 10561105005506 21122210011012