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2122313332230 = 2335713372334547
BaseRepresentation
bin11110111000100011101…
…110110111011000000110
321111220001122221220201000
4132320203232313120012
5234232444203112410
64302551032114130
7306221621450220
oct36704356673006
97456048856630
102122313332230
11749082602723
122a339a535946
13125196ab1080
1474a13135410
153a3160d9dc0
hex1ee23bb7606

2122313332230 has 256 divisors, whose sum is σ = 7153802127360. Its totient is φ = 435682312704.

The previous prime is 2122313332207. The next prime is 2122313332241. The reversal of 2122313332230 is 322333132212.

2122313332230 is a `hidden beast` number, since 2 + 1 + 22 + 313 + 3 + 322 + 3 + 0 = 666.

It is a super-2 number, since 2×21223133322302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2122313332194 and 2122313332203.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 258184 + ... + 2076363.

It is an arithmetic number, because the mean of its divisors is an integer number (27944539560).

Almost surely, 22122313332230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122313332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576901063680).

2122313332230 is an abundant number, since it is smaller than the sum of its proper divisors (5031488795130).

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

2122313332230 is a wasteful number, since it uses less digits than its factorization.

2122313332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334620 (or 2334614 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2122313332230 its reverse (322333132212), we get a palindrome (2444646464442).

The spelling of 2122313332230 in words is "two trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred thirty-two thousand, two hundred thirty".