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212333432414441 = 1323962173171017
BaseRepresentation
bin110000010001110110111010…
…110100000010000011101001
31000211210212200222121210220212
4300101312322310002003221
5210312332332144230231
62031332344321230505
762503404253151552
oct6021667264020351
91024725628553825
10212333432414441
1161724115093228
121b993784a92435
139162c59007200
143a60dc8997329
15198342e7a442b
hexc11dbad020e9

212333432414441 has 12 divisors (see below), whose sum is σ = 229923837016092. Its totient is φ = 195999534971136.

The previous prime is 212333432414429. The next prime is 212333432414507. The reversal of 212333432414441 is 144414234333212.

It can be written as a sum of positive squares in 6 ways, for example, as 3437835139600 + 208895597274841 = 1854140^2 + 14453221^2 .

It is not a de Polignac number, because 212333432414441 - 238 = 212058554507497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212333432474441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65375165 + ... + 68546181.

It is an arithmetic number, because the mean of its divisors is an integer number (19160319751341).

Almost surely, 2212333432414441 is an apocalyptic number.

It is an amenable number.

212333432414441 is a deficient number, since it is larger than the sum of its proper divisors (17590404601651).

212333432414441 is a wasteful number, since it uses less digits than its factorization.

212333432414441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567260 (or 3567247 counting only the distinct ones).

The product of its digits is 663552, while the sum is 41.

Adding to 212333432414441 its reverse (144414234333212), we get a palindrome (356747666747653).

The spelling of 212333432414441 in words is "two hundred twelve trillion, three hundred thirty-three billion, four hundred thirty-two million, four hundred fourteen thousand, four hundred forty-one".

Divisors: 1 13 169 396217 3171017 5150821 41223221 66960673 535901873 1256410842689 16333340954957 212333432414441