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10041340344222 = 23112939720396481
BaseRepresentation
bin1001001000011110111010…
…0001100011011110011110
31022112221110021101022221110
42102013232201203132132
52304004131112003342
633204532244042450
72054314526436225
oct222075641433636
938487407338843
1010041340344222
113221565935560
1211620b4693426
1357ab81b00175
1426a00971dcbc
151262e9438c9c
hex921ee86379e

10041340344222 has 128 divisors (see below), whose sum is σ = 22735578700800. Its totient is φ = 2928615782400.

The previous prime is 10041340344221. The next prime is 10041340344239. The reversal of 10041340344222 is 22244304314001.

It is a super-3 number, since 3×100413403442223 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10041340344222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041340344221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1549347222 + ... + 1549353702.

It is an arithmetic number, because the mean of its divisors is an integer number (177621708600).

Almost surely, 210041340344222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041340344222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11367789350400).

10041340344222 is an abundant number, since it is smaller than the sum of its proper divisors (12694238356578).

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

10041340344222 is a wasteful number, since it uses less digits than its factorization.

10041340344222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10041340344222 its reverse (22244304314001), we get a palindrome (32285644658223).

The spelling of 10041340344222 in words is "ten trillion, forty-one billion, three hundred forty million, three hundred forty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 397 638 794 957 1191 1914 2039 2382 4078 4367 6117 6481 8734 11513 12234 12962 13101 19443 22429 23026 26202 34539 38886 44858 59131 67287 69078 71291 118262 126643 134574 142582 177393 187949 213873 253286 354786 375898 379929 427746 563847 650441 759858 809483 1127694 1300882 1618966 1951323 2067439 2428449 2572957 3902646 4134878 4856898 5145914 6202317 7718871 8904313 12404634 13214759 15437742 17808626 23475007 26429518 26712939 28302527 39644277 46950014 53425878 56605054 70425021 74615753 79288554 84907581 140850042 145362349 149231506 169815162 223847259 258225077 290724698 383228011 436087047 447694518 516450154 766456022 774675231 820773283 872174094 1149684033 1549350462 1641546566 2299368066 2462319849 4215508121 4924639698 5246259323 8431016242 10492518646 12646524363 15738777969 25293048726 31477555938 57708852553 115417705106 152141520367 173126557659 304283040734 346253115318 456424561101 912849122202 1673556724037 3347113448074 5020670172111 10041340344222