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212211312320 = 265794737193
BaseRepresentation
bin1100010110100011000…
…1111010011011000000
3202021202101000121212002
43011220301322123000
511434102043443240
6241253304523132
721221536251440
oct3055061723300
9667671017762
10212211312320
1181aa8831957
12351651804a8
131701c19bc77
14a3b1bc8120
1557c0535d15
hex3168c7a6c0

212211312320 has 56 divisors (see below), whose sum is σ = 577517934624. Its totient is φ = 72758163456.

The previous prime is 212211312289. The next prime is 212211312323. The reversal of 212211312320 is 23213112212.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212211312292 and 212211312301.

It is not an unprimeable number, because it can be changed into a prime (212211312323) by changing a digit.

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, 47366357 + ... + 47370836.

Almost surely, 2212211312320 is an apocalyptic number.

212211312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211312320 is an abundant number, since it is smaller than the sum of its proper divisors (365306622304).

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

212211312320 is an equidigital number, since it uses as much as digits as its factorization.

212211312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94737217 (or 94737207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212211312320 its reverse (23213112212), we get a palindrome (235424424532).

The spelling of 212211312320 in words is "two hundred twelve billion, two hundred eleven million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 94737193 189474386 378948772 473685965 663160351 757897544 947371930 1326320702 1515795088 1894743860 2652641404 3031590176 3315801755 3789487720 5305282808 6063180352 6631603510 7578975440 10610565616 13263207020 15157950880 21221131232 26526414040 30315901760 42442262464 53052828080 106105656160 212211312320