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214211100531 = 3193127874969
BaseRepresentation
bin1100011101111111111…
…0011111111101110011
3202110220201222101120010
43013133332133331303
512002201020204111
6242223543150003
721322231211661
oct3073776377563
9673821871503
10214211100531
118293464438a
1235622a45303
131727a5a0abc
14a521629c31
15588ada5aa6
hex31dff9ff73

214211100531 has 48 divisors (see below), whose sum is σ = 311115638400. Its totient is φ = 130734311040.

The previous prime is 214211100529. The next prime is 214211100559. The reversal of 214211100531 is 135001112412.

It is not a de Polignac number, because 214211100531 - 21 = 214211100529 is a prime.

It is a super-2 number, since 2×2142111005312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214211100498 and 214211100507.

It is not an unprimeable number, because it can be changed into a prime (214211100331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43107015 + ... + 43111983.

It is an arithmetic number, because the mean of its divisors is an integer number (6481575800).

Almost surely, 2214211100531 is an apocalyptic number.

214211100531 is a deficient number, since it is larger than the sum of its proper divisors (96904537869).

214211100531 is a wasteful number, since it uses less digits than its factorization.

214211100531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 214211100531 its reverse (135001112412), we get a palindrome (349212212943).

The spelling of 214211100531 in words is "two hundred fourteen billion, two hundred eleven million, one hundred thousand, five hundred thirty-one".

Divisors: 1 3 19 31 57 93 589 787 961 1767 2361 2883 4969 14907 14953 18259 24397 44859 54777 73191 94411 154039 283233 462117 463543 756307 1390629 2268921 2926741 3910603 4775209 8780223 11731809 14325627 14369833 43109499 74301457 90728971 121228693 222904371 272186913 363686079 2303345167 3758089483 6910035501 11274268449 71403700177 214211100531