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20132332020 = 223251011107389
BaseRepresentation
bin10010101111111110…
…110000000111110100
31220222001112102122200
4102233332300013310
5312212334111040
613125413424500
71311616666353
oct225776600764
956861472580
1020132332020
1185a11a4029
123a9a33b130
131b8ac2b9c8
14d8dad199a
157cc6aa630
hex4affb01f4

20132332020 has 72 divisors (see below), whose sum is σ = 61672763880. Its totient is φ = 5315462400.

The previous prime is 20132331977. The next prime is 20132332057. The reversal of 20132332020 is 2023323102.

It is a happy number.

20132332020 is a `hidden beast` number, since 2 + 0 + 1 + 323 + 320 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5936086116 + 14196245904 = 77046^2 + 119148^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20132331984 and 20132332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535515 + ... + 571874.

It is an arithmetic number, because the mean of its divisors is an integer number (856566165).

Almost surely, 220132332020 is an apocalyptic number.

20132332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132332020 is an abundant number, since it is smaller than the sum of its proper divisors (41540431860).

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

20132332020 is a wasteful number, since it uses less digits than its factorization.

20132332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107505 (or 1107500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20132332020 its reverse (2023323102), we get a palindrome (22155655122).

The spelling of 20132332020 in words is "twenty billion, one hundred thirty-two million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 1107389 2214778 3322167 4429556 5536945 6644334 9966501 11073890 13288668 16610835 19933002 22147780 33221670 39866004 49832505 66443340 99665010 111846289 199330020 223692578 335538867 447385156 559231445 671077734 1006616601 1118462890 1342155468 1677694335 2013233202 2236925780 3355388670 4026466404 5033083005 6710777340 10066166010 20132332020