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212133311312 = 24131099356621
BaseRepresentation
bin1100010110010000100…
…0010111001101010000
3202021112221020202120212
43011210020113031100
511433422111430222
6241241441023252
721216601252316
oct3054410271520
9667487222525
10212133311312
1181a687a660a
1235143024b28
1317008c8b720
14a3a56c20b6
1557b87796e2
hex3164217350

212133311312 has 40 divisors (see below), whose sum is σ = 446685134280. Its totient is φ = 97009436160.

The previous prime is 212133311293. The next prime is 212133311317. The reversal of 212133311312 is 213113331212.

It can be written as a sum of positive squares in 4 ways, for example, as 44750863936 + 167382447376 = 211544^2 + 409124^2 .

It is a super-2 number, since 2×2121333113122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133311317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4655639 + ... + 4700982.

It is an arithmetic number, because the mean of its divisors is an integer number (11167128357).

Almost surely, 2212133311312 is an apocalyptic number.

It is an amenable number.

212133311312 is an abundant number, since it is smaller than the sum of its proper divisors (234551822968).

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

212133311312 is a wasteful number, since it uses less digits than its factorization.

212133311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356751 (or 9356745 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

Adding to 212133311312 its reverse (213113331212), we get a palindrome (425246642524).

The spelling of 212133311312 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1417 1744 2834 5668 11336 22672 9356621 18713242 37426484 74852968 121636073 149705936 243272146 486544292 973088584 1019871689 1946177168 2039743378 4079486756 8158973512 13258331957 16317947024 26516663914 53033327828 106066655656 212133311312