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212020120 = 235132811451
BaseRepresentation
bin11001010001100…
…10101110011000
3112202221201221001
430220302232120
5413234120440
633012154344
75153066314
oct1450625630
9482851831
10212020120
11a9752944
125b0089b4
1334c054c0
1420230b44
1513930b9a
hexca32b98

212020120 has 64 divisors (see below), whose sum is σ = 515924640. Its totient is φ = 77952000.

The previous prime is 212020111. The next prime is 212020139. The reversal of 212020120 is 21020212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212020097 and 212020106.

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, 145395 + ... + 146845.

Almost surely, 2212020120 is an apocalyptic number.

212020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257962320).

212020120 is an abundant number, since it is smaller than the sum of its proper divisors (303904520).

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

212020120 is a wasteful number, since it uses less digits than its factorization.

212020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212020120 is about 14560.9106858053. The cubic root of 212020120 is about 596.2920584115.

Adding to 212020120 its reverse (21020212), we get a palindrome (233040332).

The spelling of 212020120 in words is "two hundred twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 281 520 562 1124 1405 1451 2248 2810 2902 3653 5620 5804 7255 7306 11240 11608 14510 14612 18265 18863 29020 29224 36530 37726 58040 73060 75452 94315 146120 150904 188630 377260 407731 754520 815462 1630924 2038655 3261848 4077310 5300503 8154620 10601006 16309240 21202012 26502515 42404024 53005030 106010060 212020120