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211220102000220 = 22353520335033337
BaseRepresentation
bin110000000001101010000011…
…001001100010111001011100
31000200212110000002000211121220
4300001222003021202321130
5210141112232103001340
62025121101510453340
762330102013604605
oct6001520311427134
91020773002024556
10211220102000220
1161334a4009a785
121b833a54964250
1390b1c7c570a91
143a23170d14dac
1519644bd885ed0
hexc01a83262e5c

211220102000220 has 24 divisors (see below), whose sum is σ = 591416285600784. Its totient is φ = 56325360533376.

The previous prime is 211220102000191. The next prime is 211220102000261. The reversal of 211220102000220 is 22000201022112.

It is a super-2 number, since 2×2112201020002202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211220102000220.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1760167516609 + ... + 1760167516728.

It is an arithmetic number, because the mean of its divisors is an integer number (24642345233366).

Almost surely, 2211220102000220 is an apocalyptic number.

211220102000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220102000220 is an abundant number, since it is smaller than the sum of its proper divisors (380196183600564).

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

211220102000220 is a wasteful number, since it uses less digits than its factorization.

211220102000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520335033349 (or 3520335033347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211220102000220 its reverse (22000201022112), we get a palindrome (233220303022332).

The spelling of 211220102000220 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3520335033337 7040670066674 10561005100011 14081340133348 17601675166685 21122010200022 35203350333370 42244020400044 52805025500055 70406700666740 105610051000110 211220102000220