Search a number
-
+
3211130020 = 225730017643
BaseRepresentation
bin1011111101100101…
…1111010010100100
322021210022022021111
42333121133102210
523034022130040
61250345354404
7142401104050
oct27731372244
98253268244
103211130020
1113a866556a
12757498a04
133c2367847
14226684c60
1513bd9adea
hexbf65f4a4

3211130020 has 48 divisors (see below), whose sum is σ = 7710288768. Its totient is φ = 1100448000.

The previous prime is 3211129937. The next prime is 3211130023. The reversal of 3211130020 is 200311123.

It is a super-3 number, since 3×32111300203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3211130023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416319 + ... + 423961.

It is an arithmetic number, because the mean of its divisors is an integer number (160631016).

Almost surely, 23211130020 is an apocalyptic number.

It is an amenable number.

3211130020 is an abundant number, since it is smaller than the sum of its proper divisors (4499158748).

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

3211130020 is a wasteful number, since it uses less digits than its factorization.

3211130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3211130020 is about 56666.8335095583. The cubic root of 3211130020 is about 1475.3190951882.

Adding to 3211130020 its reverse (200311123), we get a palindrome (3411441143).

The spelling of 3211130020 in words is "three billion, two hundred eleven million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3001 6002 7643 12004 15005 15286 21007 30010 30572 38215 42014 53501 60020 76430 84028 105035 107002 152860 210070 214004 267505 420140 535010 1070020 22936643 45873286 91746572 114683215 160556501 229366430 321113002 458732860 642226004 802782505 1605565010 3211130020