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200210220202122 = 232131945031538507
BaseRepresentation
bin101101100001011100010011…
…000011100011100010001010
3222020212220120111000210201100
4231201130103003203202022
5202220221012332431442
61545451145550002230
760112465616461254
oct5541342303434212
9866786514023640
10200210220202122
115887a74a91a689
121a5560b97a6376
138793986aa6c20
1437623251c8cd4
151822dd98bb84c
hexb617130e388a

200210220202122 has 48 divisors (see below), whose sum is σ = 491744400507360. Its totient is φ = 58360873903776.

The previous prime is 200210220202099. The next prime is 200210220202133. The reversal of 200210220202122 is 221202022012002.

200210220202122 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 220 + 20 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200210220202095 and 200210220202104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22515764808 + ... + 22515773699.

It is an arithmetic number, because the mean of its divisors is an integer number (10244675010570).

Almost surely, 2200210220202122 is an apocalyptic number.

200210220202122 is an abundant number, since it is smaller than the sum of its proper divisors (291534180305238).

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

200210220202122 is a wasteful number, since it uses less digits than its factorization.

200210220202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45031538547 (or 45031538544 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200210220202122 its reverse (221202022012002), we get a palindrome (421412242214124).

The spelling of 200210220202122 in words is "two hundred trillion, two hundred ten billion, two hundred twenty million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 45031538507 90063077014 135094615521 270189231042 405283846563 585410000591 810567693126 855599231633 1170820001182 1711198463266 1756230001773 2566797694899 3512460003546 5133595389798 5268690005319 7700393084697 10537380010638 11122790011229 15400786169394 22245580022458 33368370033687 66736740067374 100105110101061 200210220202122