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2221031233122 = 2313172069809563
BaseRepresentation
bin100000010100011111110…
…001110001011001100010
321212022212111002212121120
4200110133301301121202
5242342132443424442
64420154435233110
7316315136662362
oct40243761613142
97768774085546
102221031233122
11786a30257789
122ba54aa48796
13131599ab2690
14796d9bb49a2
153cb929bd4ec
hex2051fc71662

2221031233122 has 64 divisors (see below), whose sum is σ = 5067611579520. Its totient is φ = 642882898944.

The previous prime is 2221031233121. The next prime is 2221031233133. The reversal of 2221031233122 is 2213321301222.

It is a junction number, because it is equal to n+sod(n) for n = 2221031233092 and 2221031233101.

It is not an unprimeable number, because it can be changed into a prime (2221031233121) 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 31 ways as a sum of consecutive naturals, for example, 2338713 + ... + 3148275.

It is an arithmetic number, because the mean of its divisors is an integer number (79181430930).

Almost surely, 22221031233122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221031233122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533805789760).

2221031233122 is an abundant number, since it is smaller than the sum of its proper divisors (2846580346398).

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

2221031233122 is a wasteful number, since it uses less digits than its factorization.

2221031233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811667.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2221031233122 its reverse (2213321301222), we get a palindrome (4434352534344).

The spelling of 2221031233122 in words is "two trillion, two hundred twenty-one billion, thirty-one million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 2069 4138 6207 12414 26897 35173 53794 70346 80691 105519 161382 211038 457249 809563 914498 1371747 1619126 2428689 2743494 4857378 10524319 13762571 21048638 27525142 31572957 41287713 63145914 82575426 178913423 357826846 536740269 1073480538 1674985847 3349971694 5024957541 10049915082 21774816011 28474759399 43549632022 56949518798 65324448033 85424278197 130648896066 170848556394 370171872187 740343744374 1110515616561 2221031233122