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210012220012200 = 233527931170120323
BaseRepresentation
bin101111110000000101000111…
…110001011011011010101000
31000112120222020200222020202020
4233300011013301123122220
5210011320011310342300
62022354140523504440
762143611406242624
oct5760050761333250
91015528220866666
10210012220012200
1160a0975620a401
121b679937688120
1390250b5022048
1439c0907a82184
151942d76c118a0
hexbf0147c5b6a8

210012220012200 has 384 divisors, whose sum is σ = 662374833868800. Its totient is φ = 55035227520000.

The previous prime is 210012220012187. The next prime is 210012220012213. The reversal of 210012220012200 is 2210022210012.

210012220012200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210012220012187) and next prime (210012220012213).

It is a super-3 number, since 3×2100122200122003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210012220012200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10333711239 + ... + 10333731561.

It is an arithmetic number, because the mean of its divisors is an integer number (1724934463200).

Almost surely, 2210012220012200 is an apocalyptic number.

210012220012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210012220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331187416934400).

210012220012200 is an abundant number, since it is smaller than the sum of its proper divisors (452362613856600).

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

210012220012200 is a wasteful number, since it uses less digits than its factorization.

210012220012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21433 (or 21424 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210012220012200 its reverse (2210022210012), we get a palindrome (212222242222212).

The spelling of 210012220012200 in words is "two hundred ten trillion, twelve billion, two hundred twenty million, twelve thousand, two hundred".