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2220122113038 = 2321723394133091
BaseRepresentation
bin100000010011101001100…
…101110000010000001110
321212020112010102210022100
4200103221211300100032
5242333302230104123
64415524321455530
7316253460410454
oct40235145602016
97766463383270
102220122113038
11786604066375
122ba3364a15a6
13131483644abb
14796511629d4
153cb3cc8e643
hex204e997040e

2220122113038 has 96 divisors (see below), whose sum is σ = 5120671169952. Its totient is φ = 692761651200.

The previous prime is 2220122113037. The next prime is 2220122113049. The reversal of 2220122113038 is 8303112210222.

2220122113038 is a `hidden beast` number, since 2 + 220 + 122 + 11 + 303 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220122113037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67074873 + ... + 67107963.

It is an arithmetic number, because the mean of its divisors is an integer number (53340324687).

Almost surely, 22220122113038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220122113038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560335584976).

2220122113038 is an abundant number, since it is smaller than the sum of its proper divisors (2900549056914).

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

2220122113038 is a wasteful number, since it uses less digits than its factorization.

2220122113038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34290 (or 34287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 2220122113038 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, one hundred thirteen thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 233 306 466 699 941 1398 1882 2097 2823 3961 4194 5646 7922 8469 11883 15997 16938 23766 31994 33091 35649 47991 66182 71298 95982 99273 143973 198546 219253 287946 297819 438506 562547 595638 657759 1125094 1315518 1687641 1973277 3375282 3727301 3946554 5062923 7454602 7710203 10125846 11181903 15420406 22363806 23130609 31138631 33545709 46261218 62277262 67091418 69391827 93415893 131073451 138783654 186831786 262146902 280247679 393220353 529356727 560495358 786440706 1058713454 1179661059 1588070181 2359322118 3176140362 4764210543 7255301023 9528421086 14510602046 21765903069 43531806138 65297709207 123340117391 130595418414 246680234782 370020352173 740040704346 1110061056519 2220122113038