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212123211312 = 2435103186599
BaseRepresentation
bin1100010110001110000…
…1110101011000110000
3202021112020020121222210
43011203201311120300
511433412020230222
6241240440332120
721216416355255
oct3054341653060
9667466217883
10212123211312
1181a63028301
123513b774040
1317006b634ac
14a3a421342c
1557b7931d0c
hex3163875630

212123211312 has 40 divisors (see below), whose sum is σ = 548002028800. Its totient is φ = 70705535040.

The previous prime is 212123211299. The next prime is 212123211343. The reversal of 212123211312 is 213112321212.

It is a super-2 number, since 2×2121232113122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 2406189 + ... + 2492787.

It is an arithmetic number, because the mean of its divisors is an integer number (13700050720).

Almost surely, 2212123211312 is an apocalyptic number.

It is an amenable number.

212123211312 is an abundant number, since it is smaller than the sum of its proper divisors (335878817488).

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

212123211312 is a wasteful number, since it uses less digits than its factorization.

212123211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137641 (or 137635 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 212123211312 its reverse (213112321212), we get a palindrome (425235532524).

The spelling of 212123211312 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 51031 86599 102062 153093 173198 204124 259797 306186 346396 408248 519594 612372 692792 816496 1039188 1224744 1385584 2078376 2449488 4156752 4419233569 8838467138 13257700707 17676934276 26515401414 35353868552 53030802828 70707737104 106061605656 212123211312