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212123310224 = 2475338339323
BaseRepresentation
bin1100010110001110001…
…0001101100010010000
3202021112020102122200012
43011203202031202100
511433412031411344
6241240442414052
721216420246530
oct3054342154220
9667466378605
10212123310224
1181a63095651
123513b801328
1317006b99517
14a3a423b4c0
1557b795129e
hex316388d890

212123310224 has 80 divisors (see below), whose sum is σ = 478740108672. Its totient is φ = 89161872384.

The previous prime is 212123310197. The next prime is 212123310263. The reversal of 212123310224 is 422013321212.

It is a self number, because there is not a number n which added to its sum of digits gives 212123310224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22748027 + ... + 22757349.

Almost surely, 2212123310224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212123310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239370054336).

212123310224 is an abundant number, since it is smaller than the sum of its proper divisors (266616798448).

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

212123310224 is a wasteful number, since it uses less digits than its factorization.

212123310224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13224 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 212123310224 its reverse (422013321212), we get a palindrome (634136631436).

The spelling of 212123310224 in words is "two hundred twelve billion, one hundred twenty-three million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 3833 5936 7666 9323 15332 18646 26831 30664 37292 53662 61328 65261 74584 107324 130522 149168 203149 214648 261044 406298 429296 494119 522088 812596 988238 1044176 1422043 1625192 1976476 2844086 3250384 3458833 3952952 5688172 6917666 7905904 11376344 13835332 22752688 27670664 35735059 55341328 71470118 142940236 250145413 285880472 500290826 571760944 1000581652 1893958127 2001163304 3787916254 4002326608 7575832508 13257706889 15151665016 26515413778 30303330032 53030827556 106061655112 212123310224