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22020010220010 = 235111491051426103
BaseRepresentation
bin1010000000110111011101…
…11000110001100111101010
32212222002111101001212002110
411000123232320301213222
510341233440104020020
6114455504131343150
74431615244420545
oct500335670614752
985862441055073
1022020010220010
11701a6a7788330
122577760a51ab6
13c3962a39077a
14561aba4d385c
15282bce94c8e0
hex1406eee319ea

22020010220010 has 128 divisors (see below), whose sum is σ = 58094678476800. Its totient is φ = 5297300064000.

The previous prime is 22020010220009. The next prime is 22020010220017. The reversal of 22020010220010 is 1002201002022.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22020010220017) 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, 51464619 + ... + 51890721.

It is an arithmetic number, because the mean of its divisors is an integer number (453864675600).

Almost surely, 222020010220010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22020010220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047339238400).

22020010220010 is an abundant number, since it is smaller than the sum of its proper divisors (36074668256790).

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

22020010220010 is a wasteful number, since it uses less digits than its factorization.

22020010220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427324.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22020010220010 its reverse (1002201002022), we get a palindrome (23022211222032).

The spelling of 22020010220010 in words is "twenty-two trillion, twenty billion, ten million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 149 165 298 330 447 745 894 1051 1490 1639 2102 2235 3153 3278 4470 4917 5255 6306 8195 9834 10510 11561 15765 16390 23122 24585 31530 34683 49170 57805 69366 115610 156599 173415 313198 346830 426103 469797 782995 852206 939594 1278309 1565990 1722589 2130515 2348985 2556618 3445178 4261030 4687133 4697970 5167767 6391545 8612945 9374266 10335534 12783090 14061399 17225890 23435665 25838835 28122798 46871330 51677670 63489347 70306995 126978694 140613990 190468041 317446735 380936082 447834253 634893470 698382817 895668506 952340205 1343502759 1396765634 1904680410 2095148451 2239171265 2687005518 3491914085 4190296902 4478342530 4926176783 6717513795 6983828170 9852353566 10475742255 13435027590 14778530349 20951484510 24630883915 29557060698 49261767830 66727303697 73892651745 133454607394 147785303490 200181911091 333636518485 400363822182 667273036970 734000340667 1000909555455 1468000681334 2001819110910 2202001022001 3670001703335 4404002044002 7340003406670 11010005110005 22020010220010