Search a number
-
+
2122010110122 = 2372192916778439
BaseRepresentation
bin11110111000010001101…
…010001010100010101010
321111212021112101122011120
4132320101222022202222
5234231334042010442
64302501001040110
7306211250220600
oct36702152124252
97455245348146
102122010110122
11748a37428441
122a3314a86036
131251490257c6
14749c4b63870
153a2e96914ec
hex1ee11a8a8aa

2122010110122 has 192 divisors, whose sum is σ = 5408218368000. Its totient is φ = 551244693888.

The previous prime is 2122010110081. The next prime is 2122010110123. The reversal of 2122010110122 is 2210110102212.

It is not an unprimeable number, because it can be changed into a prime (2122010110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27013779 + ... + 27092217.

It is an arithmetic number, because the mean of its divisors is an integer number (28167804000).

Almost surely, 22122010110122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122010110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704109184000).

2122010110122 is an abundant number, since it is smaller than the sum of its proper divisors (3286208257878).

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

2122010110122 is a wasteful number, since it uses less digits than its factorization.

2122010110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78673 (or 78666 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122010110122 its reverse (2210110102212), we get a palindrome (4332120212334).

The spelling of 2122010110122 in words is "two trillion, one hundred twenty-two billion, ten million, one hundred ten thousand, one hundred twenty-two".