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3222102100014 = 2327291303676747
BaseRepresentation
bin101110111000110100010…
…000000100100000101110
3102102000210211112222022100
4232320310100010200232
5410242331114200024
610504114022155530
7451534456646340
oct56706420044056
912360724488270
103222102100014
1110325386a9836
1244056b582ba6
131a4ac5b9b665
14b1d44535290
1558c332637c9
hex2ee3440482e

3222102100014 has 96 divisors (see below), whose sum is σ = 8260007109120. Its totient is φ = 888172278336.

The previous prime is 3222102100013. The next prime is 3222102100039. The reversal of 3222102100014 is 4100012012223.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3222102100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222102100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4422789 + ... + 5099535.

It is an arithmetic number, because the mean of its divisors is an integer number (86041740720).

Almost surely, 23222102100014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222102100014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130003554560).

3222102100014 is an abundant number, since it is smaller than the sum of its proper divisors (5037905009106).

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

3222102100014 is a wasteful number, since it uses less digits than its factorization.

3222102100014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678094 (or 678091 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3222102100014 its reverse (4100012012223), we get a palindrome (7322114112237).

The spelling of 3222102100014 in words is "three trillion, two hundred twenty-two billion, one hundred two million, one hundred thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1303 1827 2606 3654 3909 7818 9121 11727 18242 23454 27363 37787 54726 75574 82089 113361 164178 226722 264509 340083 529018 676747 680166 793527 1353494 1587054 2030241 2380581 4060482 4737229 4761162 6090723 9474458 12181446 14211687 19625663 28423374 39251326 42635061 58876989 85270122 117753978 137379641 176630967 274759282 353261934 412138923 824277846 881801341 1236416769 1763602682 2472833538 2645404023 5290808046 6172609387 7936212069 12345218774 15872424138 18517828161 25572238889 37035656322 51144477778 55553484483 76716716667 111106968966 153433433334 179005672223 230150150001 358011344446 460300300002 537017016669 1074034033338 1611051050007 3222102100014