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213221001020 = 225411012574511
BaseRepresentation
bin1100011010010011110…
…1100100011100111100
3202101100201221010100212
43012210331210130330
511443134034013040
6241541414011552
721255546414326
oct3064475443474
9671321833325
10213221001020
1182476772a25
12353a7346bb8
131715041c0c1
14a469d38616
15582deccd65
hex31a4f6473c

213221001020 has 48 divisors (see below), whose sum is σ = 463226795136. Its totient is φ = 82384320000.

The previous prime is 213221000977. The next prime is 213221001029. The reversal of 213221001020 is 20100122312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213221000986 and 213221001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213221001029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204436 + ... + 1370075.

It is an arithmetic number, because the mean of its divisors is an integer number (9650558232).

Almost surely, 2213221001020 is an apocalyptic number.

213221001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213221001020 is an abundant number, since it is smaller than the sum of its proper divisors (250005794116).

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

213221001020 is a wasteful number, since it uses less digits than its factorization.

213221001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574662 (or 2574660 counting only the distinct ones).

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

Adding to 213221001020 its reverse (20100122312), we get a palindrome (233321123332).

The spelling of 213221001020 in words is "two hundred thirteen billion, two hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 4141 8282 16564 20705 41410 82820 2574511 5149022 10298044 12872555 25745110 51490220 105554951 211109902 260025611 422219804 520051222 527774755 1040102444 1055549510 1300128055 2111099020 2600256110 5200512220 10661050051 21322100102 42644200204 53305250255 106610500510 213221001020