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30022022200122 = 2321667890122229
BaseRepresentation
bin1101101001110000010111…
…11101111111101100111010
310221022002002100100102210200
412310320023331333230322
512413340100140400442
6143503532051223030
76216006461116251
oct664701375775472
9127262070312720
1030022022200122
1196252a494aa47
12344a5765a7a76
13139a0aba64bb4
1475b106069798
15370e1d34034c
hex1b4e0bf7fb3a

30022022200122 has 12 divisors (see below), whose sum is σ = 65047714766970. Its totient is φ = 10007340733368.

The previous prime is 30022022200097. The next prime is 30022022200123. The reversal of 30022022200122 is 22100222022003.

30022022200122 is a `hidden beast` number, since 300 + 2 + 20 + 2 + 220 + 0 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29014931675601 + 1007090524521 = 5386551^2 + 1003539^2 .

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: 1667890122229 = 30022022200122 / (3 + 0 + 0 + 2 + 2 + 0 + 2 + 2 + 2 + 0 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 30022022200095 and 30022022200104.

It is not an unprimeable number, because it can be changed into a prime (30022022200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 833945061097 + ... + 833945061132.

Almost surely, 230022022200122 is an apocalyptic number.

30022022200122 is an abundant number, since it is smaller than the sum of its proper divisors (35025692566848).

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

30022022200122 is a wasteful number, since it uses less digits than its factorization.

30022022200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667890122237 (or 1667890122234 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30022022200122 its reverse (22100222022003), we get a palindrome (52122244222125).

The spelling of 30022022200122 in words is "thirty trillion, twenty-two billion, twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1667890122229 3335780244458 5003670366687 10007340733374 15011011100061 30022022200122