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211020211220020 = 225105131003615577
BaseRepresentation
bin101111111110101111111000…
…101110101110111000110100
31000200011100001100021002112021
4233332233320232232320310
5210124323343033020040
62024445202521402524
762306464360162636
oct5776577056567064
91020140040232467
10211020211220020
1161268194a47a84
121b801169939444
139099174a72b07
143a1760b544a56
15195e1becd824a
hexbfebf8baee34

211020211220020 has 24 divisors (see below), whose sum is σ = 443184595857864. Its totient is φ = 84400055479296.

The previous prime is 211020211220011. The next prime is 211020211220029. The reversal of 211020211220020 is 20022112020112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211020211220011) and next prime (211020211220029).

It can be written as a sum of positive squares in 4 ways, for example, as 14488635283236 + 196531575936784 = 3806394^2 + 14018972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211020211219976 and 211020211220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020211220029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501597529 + ... + 502018048.

It is an arithmetic number, because the mean of its divisors is an integer number (18466024827411).

Almost surely, 2211020211220020 is an apocalyptic number.

211020211220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020211220020 is an abundant number, since it is smaller than the sum of its proper divisors (232164384637844).

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

211020211220020 is a wasteful number, since it uses less digits than its factorization.

211020211220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003626099 (or 1003626097 counting only the distinct ones).

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

Adding to 211020211220020 its reverse (20022112020112), we get a palindrome (231042323240132).

The spelling of 211020211220020 in words is "two hundred eleven trillion, twenty billion, two hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 10513 21026 42052 52565 105130 210260 1003615577 2007231154 4014462308 5018077885 10036155770 20072311540 10551010561001 21102021122002 42204042244004 52755052805005 105510105610010 211020211220020