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212011320020 = 22567359440717
BaseRepresentation
bin1100010101110011011…
…1000000001011010100
3202021020102200221222212
43011130313000023110
511433144344220040
6241221402212552
721213560325503
oct3053467001324
9667212627885
10212011320020
1181a05954765
123510a1b4158
1316cb9918326
14a39340883a
1557acbcdd65
hex315cdc02d4

212011320020 has 48 divisors (see below), whose sum is σ = 453128618880. Its totient is φ = 83305901184.

The previous prime is 212011320011. The next prime is 212011320029. The reversal of 212011320020 is 20023110212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212011320011) and next prime (212011320029).

It is a junction number, because it is equal to n+sod(n) for n = 212011319977 and 212011320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011320029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260702 + ... + 701418.

It is an arithmetic number, because the mean of its divisors is an integer number (9440179560).

Almost surely, 2212011320020 is an apocalyptic number.

212011320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011320020 is an abundant number, since it is smaller than the sum of its proper divisors (241117298860).

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

212011320020 is a wasteful number, since it uses less digits than its factorization.

212011320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441152 (or 441150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212011320020 its reverse (20023110212), we get a palindrome (232034430232).

The spelling of 212011320020 in words is "two hundred twelve billion, eleven million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 359 670 718 1340 1436 1795 3590 7180 24053 48106 96212 120265 240530 440717 481060 881434 1762868 2203585 4407170 8814340 29528039 59056078 118112156 147640195 158217403 295280390 316434806 590560780 632869612 791087015 1582174030 3164348060 10600566001 21201132002 42402264004 53002830005 106005660010 212011320020