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213013020 = 223511322747
BaseRepresentation
bin11001011001001…
…01001000011100
3112211211011221010
430230211020130
5414012404040
633045335220
75164403133
oct1454451034
9484734833
10213013020
11aa270920
125b407510
133519240c
142040c91a
1513a79e80
hexcb2521c

213013020 has 48 divisors (see below), whose sum is σ = 650659968. Its totient is φ = 51639360.

The previous prime is 213012991. The next prime is 213013049. The reversal of 213013020 is 20310312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213012991) and next prime (213013049).

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 = 213012987 and 213013005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160714 + ... + 162033.

It is an arithmetic number, because the mean of its divisors is an integer number (13555416).

Almost surely, 2213013020 is an apocalyptic number.

213013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013020 is an abundant number, since it is smaller than the sum of its proper divisors (437646948).

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

213013020 is a wasteful number, since it uses less digits than its factorization.

213013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322770 (or 322768 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213013020 is about 14594.9655703602. The cubic root of 213013020 is about 597.2214302239.

Adding to 213013020 its reverse (20310312), we get a palindrome (233323332).

The spelling of 213013020 in words is "two hundred thirteen million, thirteen 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 322747 645494 968241 1290988 1613735 1936482 3227470 3550217 3872964 4841205 6454940 7100434 9682410 10650651 14200868 17751085 19364820 21301302 35502170 42602604 53253255 71004340 106506510 213013020