Search a number
-
+
3211030020 = 22351119213477
BaseRepresentation
bin1011111101100100…
…0110111000000100
322021210010020002210
42333121012320010
523034010430040
61250343303420
7142400206362
oct27731067004
98253106083
103211030020
1113a85a7420
1275744ab70
133c2331183
1422665a632
1513bd7b480
hexbf646e04

3211030020 has 144 divisors (see below), whose sum is σ = 10352397888. Its totient is φ = 737406720.

The previous prime is 3211029953. The next prime is 3211030033. The reversal of 3211030020 is 200301123.

It is a happy number.

3211030020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 3211029978 and 3211030005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231522 + ... + 244998.

It is an arithmetic number, because the mean of its divisors is an integer number (71891652).

Almost surely, 23211030020 is an apocalyptic number.

3211030020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3211030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176198944).

3211030020 is an abundant number, since it is smaller than the sum of its proper divisors (7141367868).

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

3211030020 is a wasteful number, since it uses less digits than its factorization.

3211030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13538 (or 13517 counting only the distinct ones).

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

The square root of 3211030020 is about 56665.9511523454. The cubic root of 3211030020 is about 1475.3037803883.

Adding to 3211030020 its reverse (200301123), we get a palindrome (3411331143).

The spelling of 3211030020 in words is "three billion, two hundred eleven million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 361 380 418 570 627 660 722 836 1045 1083 1140 1254 1444 1805 2090 2166 2508 3135 3610 3971 4180 4332 5415 6270 7220 7942 10830 11913 12540 13477 15884 19855 21660 23826 26954 39710 40431 47652 53908 59565 67385 79420 80862 119130 134770 148247 161724 202155 238260 256063 269540 296494 404310 444741 512126 592988 741235 768189 808620 889482 1024252 1280315 1482470 1536378 1778964 2223705 2560630 2816693 2964940 3072756 3840945 4447410 4865197 5121260 5633386 7681890 8450079 8894820 9730394 11266772 14083465 14595591 15363780 16900158 19460788 24325985 28166930 29191182 33800316 42250395 48651970 53517167 56333860 58382364 72977955 84500790 97303940 107034334 145955910 160551501 169001580 214068668 267585835 291911820 321103002 535171670 642206004 802757505 1070343340 1605515010 3211030020