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211214411412 = 22327164949081
BaseRepresentation
bin1100010010110101011…
…1000010011010010100
3202012011220011210220020
43010231113002122110
511430031342131122
6241010333505140
721155042606004
oct3045527023224
9665156153806
10211214411412
1181637035504
1234b273421b0
1316bc07a8584
14a319646004
155762c67c5c
hex312d5c2694

211214411412 has 24 divisors (see below), whose sum is σ = 494652208512. Its totient is φ = 70145006400.

The previous prime is 211214411393. The next prime is 211214411413. The reversal of 211214411412 is 214114412112.

It is a super-2 number, since 2×2112144114122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211214411413) 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 7 ways as a sum of consecutive naturals, for example, 32471289 + ... + 32477792.

It is an arithmetic number, because the mean of its divisors is an integer number (20610508688).

Almost surely, 2211214411412 is an apocalyptic number.

It is an amenable number.

211214411412 is an abundant number, since it is smaller than the sum of its proper divisors (283437797100).

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

211214411412 is a wasteful number, since it uses less digits than its factorization.

211214411412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64949359 (or 64949357 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 211214411412 its reverse (214114412112), we get a palindrome (425328823524).

The spelling of 211214411412 in words is "two hundred eleven billion, two hundred fourteen million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 271 542 813 1084 1626 3252 64949081 129898162 194847243 259796324 389694486 779388972 17601200951 35202401902 52803602853 70404803804 105607205706 211214411412