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211212020020 = 22540529260569
BaseRepresentation
bin1100010010110100110…
…1111010100100110100
3202012011201200022112011
43010231031322210310
511430030234120040
6241010210334004
721155013356011
oct3045515724464
9665151608464
10211212020020
1181635751851
1234b2658a304
1316bc014bc51
14a3191c2708
1557629443ea
hex312d37a934

211212020020 has 24 divisors (see below), whose sum is σ = 443557888200. Its totient is φ = 84482399232.

The previous prime is 211212020017. The next prime is 211212020051. The reversal of 211212020020 is 20020212112.

It is a happy number.

211212020020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26831095204 + 184380924816 = 163802^2 + 429396^2 .

It is a super-2 number, since 2×2112120200202 (a number of 23 digits) contains 22 as substring.

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, 680296 + ... + 940864.

It is an arithmetic number, because the mean of its divisors is an integer number (18481578675).

Almost surely, 2211212020020 is an apocalyptic number.

211212020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212020020 is an abundant number, since it is smaller than the sum of its proper divisors (232345868180).

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

211212020020 is a wasteful number, since it uses less digits than its factorization.

211212020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301107 (or 301105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211212020020 its reverse (20020212112), we get a palindrome (231232232132).

The spelling of 211212020020 in words is "two hundred eleven billion, two hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 40529 81058 162116 202645 260569 405290 521138 810580 1042276 1302845 2605690 5211380 10560601001 21121202002 42242404004 52803005005 105606010010 211212020020