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210022200012200 = 23529747611077301
BaseRepresentation
bin101111110000001110011010…
…101000000110110110101000
31000112121221000020002210000212
4233300032122220012312220
5210012000431200342300
62022402511113520252
762144413621655552
oct5760163250066650
91015557006083025
10210022200012200
1160a12a07704094
121b67b861a13088
1390260158290a4
1439c11b32ba4d2
15194325ce6d935
hexbf039aa06da8

210022200012200 has 48 divisors (see below), whose sum is σ = 488302569237660. Its totient is φ = 84008715840000.

The previous prime is 210022200012187. The next prime is 210022200012221. The reversal of 210022200012200 is 2210002220012.

It can be written as a sum of positive squares in 6 ways, for example, as 629550207364 + 209392649804836 = 793442^2 + 14470406^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194413550 + ... + 195490850.

Almost surely, 2210022200012200 is an apocalyptic number.

210022200012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022200012200 is an abundant number, since it is smaller than the sum of its proper divisors (278280369225460).

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

210022200012200 is a wasteful number, since it uses less digits than its factorization.

210022200012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052078 (or 2052069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 210022200012200 its reverse (2210002220012), we get a palindrome (212232202232212).

The spelling of 210022200012200 in words is "two hundred ten trillion, twenty-two billion, two hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 974761 1077301 1949522 2154602 3899044 4309204 4873805 5386505 7798088 8618408 9747610 10773010 19495220 21546020 24369025 26932525 38990440 43092040 48738050 53865050 97476100 107730100 194952200 215460200 1050111000061 2100222000122 4200444000244 5250555000305 8400888000488 10501110000610 21002220001220 26252775001525 42004440002440 52505550003050 105011100006100 210022200012200