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212241111140 = 225101105069857
BaseRepresentation
bin1100010110101010001…
…1100101100001100100
3202021211110002120011002
43011222203211201210
511434132211024030
6241300251332432
721222350451452
oct3055243454144
9667743076132
10212241111140
1182013635183
1235173151118
13170254034c6
14a3b5b439d2
1557c2e70245
hex316a8e5864

212241111140 has 24 divisors (see below), whose sum is σ = 450119271672. Its totient is φ = 84055884800.

The previous prime is 212241111133. The next prime is 212241111161. The reversal of 212241111140 is 41111142212.

It can be written as a sum of positive squares in 4 ways, for example, as 144862449664 + 67378661476 = 380608^2 + 259574^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52532909 + ... + 52536948.

It is an arithmetic number, because the mean of its divisors is an integer number (18754969653).

Almost surely, 2212241111140 is an apocalyptic number.

212241111140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212241111140 is an abundant number, since it is smaller than the sum of its proper divisors (237878160532).

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

212241111140 is a wasteful number, since it uses less digits than its factorization.

212241111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105069967 (or 105069965 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212241111140 its reverse (41111142212), we get a palindrome (253352253352).

The spelling of 212241111140 in words is "two hundred twelve billion, two hundred forty-one million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 105069857 210139714 420279428 525349285 1050698570 2101397140 10612055557 21224111114 42448222228 53060277785 106120555570 212241111140