Search a number
-
+
211411343120 = 245171511029467
BaseRepresentation
bin1100010011100100011…
…0010001011100010000
3202012200121201222102012
43010321012101130100
511430432300434440
6241042050442052
721162653523635
oct3047106213420
9665617658365
10211411343120
118172821218a
1234b81293328
1316c2252a103
14a33786a18c
1557751b7e65
hex3139191710

211411343120 has 80 divisors (see below), whose sum is σ = 523892147328. Its totient is φ = 79062988800.

The previous prime is 211411343083. The next prime is 211411343149. The reversal of 211411343120 is 21343114112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2114113431203 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309374 + ... + 720093.

Almost surely, 2211411343120 is an apocalyptic number.

211411343120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211411343120 is an abundant number, since it is smaller than the sum of its proper divisors (312480804208).

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

211411343120 is a wasteful number, since it uses less digits than its factorization.

211411343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029648 (or 1029642 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211411343120 its reverse (21343114112), we get a palindrome (232754457232).

The spelling of 211411343120 in words is "two hundred eleven billion, four hundred eleven million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 151 170 272 302 340 604 680 755 1208 1360 1510 2416 2567 3020 5134 6040 10268 12080 12835 20536 25670 41072 51340 102680 205360 1029467 2058934 4117868 5147335 8235736 10294670 16471472 17500939 20589340 35001878 41178680 70003756 82357360 87504695 140007512 155449517 175009390 280015024 310899034 350018780 621798068 700037560 777247585 1243596136 1400075120 1554495170 2487192272 2642641789 3108990340 5285283578 6217980680 10570567156 12435961360 13213208945 21141134312 26426417890 42282268624 52852835780 105705671560 211411343120