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2121012222210 = 2335729331116911
BaseRepresentation
bin11110110111010110001…
…011100001100100000010
321111202200222200200022000
4132313112023201210002
5234222313112102320
64302213552524430
7306144442264440
oct36672613414402
97452628620260
102121012222210
11748575117492
122a3096850716
1312501a377a9b
147492c405b90
153a28bc7ac90
hex1edd62e1902

2121012222210 has 256 divisors, whose sum is σ = 6707194675200. Its totient is φ = 466667308800.

The previous prime is 2121012222157. The next prime is 2121012222211. The reversal of 2121012222210 is 122222101212.

It is a happy number.

2121012222210 is a `hidden beast` number, since 21 + 210 + 1 + 2 + 222 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2121012222211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18083655 + ... + 18200565.

It is an arithmetic number, because the mean of its divisors is an integer number (26199979200).

Almost surely, 22121012222210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121012222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353597337600).

2121012222210 is an abundant number, since it is smaller than the sum of its proper divisors (4586182452990).

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

2121012222210 is a wasteful number, since it uses less digits than its factorization.

2121012222210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117294 (or 117288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2121012222210 its reverse (122222101212), we get a palindrome (2243234323422).

The spelling of 2121012222210 in words is "two trillion, one hundred twenty-one billion, twelve million, two hundred twenty-two thousand, two hundred ten".