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220122101322 = 23212229005629
BaseRepresentation
bin1100110100000001001…
…1001011011001001010
3210001011200120100021100
43031000103023121022
512101302224220242
6245042300322230
721621554663304
oct3150023133112
9701150510240
10220122101322
1185398207802
12367b2543376
13179b00a82c6
14a9226ac974
155ad4cad54c
hex33404cb64a

220122101322 has 12 divisors (see below), whose sum is σ = 476931219570. Its totient is φ = 73374033768.

The previous prime is 220122101291. The next prime is 220122101341. The reversal of 220122101322 is 223101221022.

220122101322 is a `hidden beast` number, since 220 + 1 + 22 + 101 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183030808041 + 37091293281 = 427821^2 + 192591^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12229005629 = 220122101322 / (2 + 2 + 0 + 1 + 2 + 2 + 1 + 0 + 1 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 220122101295 and 220122101304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6114502797 + ... + 6114502832.

Almost surely, 2220122101322 is an apocalyptic number.

220122101322 is an abundant number, since it is smaller than the sum of its proper divisors (256809118248).

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

220122101322 is a wasteful number, since it uses less digits than its factorization.

220122101322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229005637 (or 12229005634 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220122101322 its reverse (223101221022), we get a palindrome (443223322344).

The spelling of 220122101322 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 12229005629 24458011258 36687016887 73374033774 110061050661 220122101322