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20201212020 = 22351130607897
BaseRepresentation
bin10010110100000101…
…100000100001110100
31221010212010220020210
4102310011200201310
5312333002241040
613140314025420
71313414316603
oct226405404164
957125126223
1020201212020
11862706a650
123ab9418270
131b9c2977c2
14d98d01a3a
157d3764480
hex4b4160874

20201212020 has 48 divisors (see below), whose sum is σ = 61705522368. Its totient is φ = 4897263360.

The previous prime is 20201212019. The next prime is 20201212039. The reversal of 20201212020 is 2021210202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20201211987 and 20201212005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15303289 + ... + 15304608.

It is an arithmetic number, because the mean of its divisors is an integer number (1285531716).

Almost surely, 220201212020 is an apocalyptic number.

20201212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201212020 is an abundant number, since it is smaller than the sum of its proper divisors (41504310348).

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

20201212020 is a wasteful number, since it uses less digits than its factorization.

20201212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30607920 (or 30607918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20201212020 its reverse (2021210202), we get a palindrome (22222422222).

It can be divided in two parts, 20201 and 212020, that added together give a triangular number (232221 = T681).

The spelling of 20201212020 in words is "twenty billion, two hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 30607897 61215794 91823691 122431588 153039485 183647382 306078970 336686867 367294764 459118455 612157940 673373734 918236910 1010060601 1346747468 1683434335 1836473820 2020121202 3366868670 4040242404 5050303005 6733737340 10100606010 20201212020