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211122200012020 = 225111318363875947
BaseRepresentation
bin110000000000001110110111…
…101111000110010011110100
31000200112002022010011112111221
4300000032313233012103310
5210133011231200341040
62025004111051240124
762320034633462563
oct6000166757062364
91020462263145457
10211122200012020
11612a7470a64a30
121b818a91749044
1390a597960424b
143a1c524783bda
151961b8d91e74a
hexc003b7bc64f4

211122200012020 has 96 divisors (see below), whose sum is σ = 487412673302016. Its totient is φ = 76176468700800.

The previous prime is 211122200011993. The next prime is 211122200012027. The reversal of 211122200012020 is 20210002221112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211122200011985 and 211122200012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122200012027) 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 31 ways as a sum of consecutive naturals, for example, 240583687 + ... + 241459633.

It is an arithmetic number, because the mean of its divisors is an integer number (5077215346896).

Almost surely, 2211122200012020 is an apocalyptic number.

211122200012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122200012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243706336651008).

211122200012020 is an abundant number, since it is smaller than the sum of its proper divisors (276290473289996).

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

211122200012020 is a wasteful number, since it uses less digits than its factorization.

211122200012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884461 (or 884459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211122200012020 its reverse (20210002221112), we get a palindrome (231332202233132).

The spelling of 211122200012020 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 8363 14410 16726 28820 33452 41815 83630 91993 167260 183986 367972 459965 875947 919930 1095553 1751894 1839860 2191106 3503788 4379735 4382212 5477765 8759470 9635417 10955530 12051083 17518940 19270834 21911060 24102166 38541668 48177085 48204332 60255415 96354170 114749057 120510830 192708340 229498114 241021660 458996228 573745285 1147490570 1262239627 2294981140 2524479254 5048958508 6311198135 7325544761 12622396270 14651089522 25244792540 29302179044 36627723805 73255447610 80580992371 146510895220 161161984742 322323969484 402904961855 805809923710 959646363691 1611619847420 1919292727382 3838585454764 4798231818455 9596463636910 10556110000601 19192927273820 21112220001202 42224440002404 52780550003005 105561100006010 211122200012020