Search a number
-
+
211412200041 = 347583963857
BaseRepresentation
bin1100010011100100100…
…1100010101001101001
3202012200200100111220000
43010321021202221221
511430433010400131
6241042121053213
721162664023150
oct3047111425151
9665620314800
10211412200041
1181728747a89
1234b81627209
1316c2276a173
14a337a10597
1557752d6ce6
hex3139262a69

211412200041 has 40 divisors (see below), whose sum is σ = 360996936960. Its totient is φ = 120784390272.

The previous prime is 211412200019. The next prime is 211412200093. The reversal of 211412200041 is 140002214112.

211412200041 is a `hidden beast` number, since 2 + 11 + 412 + 200 + 0 + 41 = 666.

It is not a de Polignac number, because 211412200041 - 221 = 211410102889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211412199987 and 211412200023.

It is not an unprimeable number, because it can be changed into a prime (211412200541) 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 39 ways as a sum of consecutive naturals, for example, 3278785 + ... + 3342641.

It is an arithmetic number, because the mean of its divisors is an integer number (9024923424).

Almost surely, 2211412200041 is an apocalyptic number.

211412200041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211412200041 is a deficient number, since it is larger than the sum of its proper divisors (149584736919).

211412200041 is an equidigital number, since it uses as much as digits as its factorization.

211412200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69715 (or 69706 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211412200041 its reverse (140002214112), we get a palindrome (351414414153).

The spelling of 211412200041 in words is "two hundred eleven billion, four hundred twelve million, two hundred thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 5839 17517 40873 52551 63857 122619 157653 191571 367857 446999 472959 574713 1103571 1340997 1724139 3310713 4022991 5172417 12068973 36206919 372861023 1118583069 2610027161 3355749207 7830081483 10067247621 23490244449 30201742863 70470733347 211412200041