Search a number
-
+
3213132020 = 2257311514903
BaseRepresentation
bin1011111110000100…
…1000000011110100
322021221002000111122
42333201020003310
523040030211040
61250500323112
7142424112560
oct27741100364
98257060448
103213132020
1113a980270a
127580a3498
133c28b8b67
14226a466a0
1513c1441b5
hexbf8480f4

3213132020 has 96 divisors (see below), whose sum is σ = 8014626816. Its totient is φ = 1058832000.

The previous prime is 3213132019. The next prime is 3213132079. The reversal of 3213132020 is 202313123.

It is a self number, because there is not a number n which added to its sum of digits gives 3213132020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652889 + ... + 657791.

It is an arithmetic number, because the mean of its divisors is an integer number (83485696).

Almost surely, 23213132020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007313408).

3213132020 is an abundant number, since it is smaller than the sum of its proper divisors (4801494796).

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

3213132020 is a wasteful number, since it uses less digits than its factorization.

3213132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3213132020 is about 56684.4954110028. The cubic root of 3213132020 is about 1475.6256306042.

Adding to 3213132020 its reverse (202313123), we get a palindrome (3415445143).

The spelling of 3213132020 in words is "three billion, two hundred thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 151 155 217 302 310 434 604 620 755 868 1057 1085 1510 2114 2170 3020 4228 4340 4681 4903 5285 9362 9806 10570 18724 19612 21140 23405 24515 32767 34321 46810 49030 65534 68642 93620 98060 131068 137284 151993 163835 171605 303986 327670 343210 607972 655340 686420 740353 759965 1063951 1480706 1519930 2127902 2961412 3039860 3701765 4255804 5182471 5319755 7403530 10364942 10639510 14807060 20729884 21279020 22950943 25912355 45901886 51824710 91803772 103649420 114754715 160656601 229509430 321313202 459018860 642626404 803283005 1606566010 3213132020