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213244221312 = 2732227815453
BaseRepresentation
bin1100011010011001011…
…0001001011110000000
3202101102100121211121200
43012212112021132000
511443211010040222
6241544003421200
721256250655063
oct3064626113600
9671370554550
10213244221312
1182488892751
12353b3084800
131715518c215
14a46d0608da
155831067eac
hex31a6589780

213244221312 has 96 divisors (see below), whose sum is σ = 616336442280. Its totient is φ = 70768186368.

The previous prime is 213244221301. The next prime is 213244221313. The reversal of 213244221312 is 213122442312.

213244221312 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 442 + 213 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2132442213122 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213244221313) 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, 146223 + ... + 669230.

Almost surely, 2213244221312 is an apocalyptic number.

It is an amenable number.

213244221312 is an abundant number, since it is smaller than the sum of its proper divisors (403092220968).

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

213244221312 is a wasteful number, since it uses less digits than its factorization.

213244221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815700 (or 815685 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 213244221312 its reverse (213122442312), we get a palindrome (426366663624).

The spelling of 213244221312 in words is "two hundred thirteen billion, two hundred forty-four million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 288 384 454 576 681 908 1152 1362 1816 2043 2724 3632 4086 5448 7264 8172 10896 14528 16344 21792 29056 32688 43584 65376 87168 130752 261504 815453 1630906 2446359 3261812 4892718 6523624 7339077 9785436 13047248 14678154 19570872 26094496 29356308 39141744 52188992 58712616 78283488 104377984 117425232 156566976 185107831 234850464 313133952 370215662 469700928 555323493 740431324 939401856 1110646986 1480862648 1665970479 2221293972 2961725296 3331940958 4442587944 5923450592 6663881916 8885175888 11846901184 13327763832 17770351776 23693802368 26655527664 35540703552 53311055328 71081407104 106622110656 213244221312