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211214411340 = 22354465178839
BaseRepresentation
bin1100010010110101011…
…1000010011001001100
3202012011220011210210120
43010231113002121030
511430031342130330
6241010333504540
721155042605542
oct3045527023114
9665156153716
10211214411340
1181637035449
1234b27342150
1316bc07a852a
14a319645d92
155762c67c10
hex312d5c264c

211214411340 has 48 divisors (see below), whose sum is σ = 591421098240. Its totient is φ = 56321867200.

The previous prime is 211214411333. The next prime is 211214411347. The reversal of 211214411340 is 43114412112.

It is a happy number.

211214411340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211214411333) and next prime (211214411347).

It is a super-2 number, since 2×2112144113402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211214411340.

It is not an unprimeable number, because it can be changed into a prime (211214411347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2639641 + ... + 2718479.

It is an arithmetic number, because the mean of its divisors is an integer number (12321272880).

Almost surely, 2211214411340 is an apocalyptic number.

211214411340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211214411340 is an abundant number, since it is smaller than the sum of its proper divisors (380206686900).

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

211214411340 is a wasteful number, since it uses less digits than its factorization.

211214411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123502 (or 123500 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 211214411340 its reverse (43114412112), we get a palindrome (254328823452).

The spelling of 211214411340 in words is "two hundred eleven billion, two hundred fourteen million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 44651 78839 89302 133953 157678 178604 223255 236517 267906 315356 394195 446510 473034 535812 669765 788390 893020 946068 1182585 1339530 1576780 2365170 2679060 4730340 3520240189 7040480378 10560720567 14080960756 17601200945 21121441134 35202401890 42242882268 52803602835 70404803780 105607205670 211214411340