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214014015531 = 322329186119157
BaseRepresentation
bin1100011101010000111…
…0101011100000101011
3202110102000010102202200
43013110032223200223
512001300041444111
6242152223031243
721314316055101
oct3072416534053
9673360112680
10214014015531
1182843372518
1235588a3b523
13172487c7564
14a5033a5c71
155878925256
hex31d43ab82b

214014015531 has 48 divisors (see below), whose sum is σ = 333891754560. Its totient is φ = 131689071360.

The previous prime is 214014015503. The next prime is 214014015559. The reversal of 214014015531 is 135510410412.

214014015531 is digitally balanced in base 2, 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 (214014015503) and next prime (214014015559).

It is not a de Polignac number, because 214014015531 - 219 = 214013491243 is a prime.

It is a super-2 number, since 2×2140140155312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214014015495 and 214014015504.

It is not an unprimeable number, because it can be changed into a prime (214014015331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11162005 + ... + 11181161.

It is an arithmetic number, because the mean of its divisors is an integer number (6956078220).

Almost surely, 2214014015531 is an apocalyptic number.

214014015531 is a deficient number, since it is larger than the sum of its proper divisors (119877739029).

214014015531 is a wasteful number, since it uses less digits than its factorization.

214014015531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21076 (or 21073 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 214014015531 its reverse (135510410412), we get a palindrome (349524425943).

The spelling of 214014015531 in words is "two hundred fourteen billion, fourteen million, fifteen thousand, five hundred thirty-one".

Divisors: 1 3 9 23 29 69 87 207 261 667 1861 2001 5583 6003 16749 19157 42803 53969 57471 128409 161907 172413 385227 440611 485721 555553 1241287 1321833 1666659 3723861 3965499 4999977 11171583 12777719 35651177 38333157 106953531 114999471 320860593 819977071 1033884133 2459931213 3101652399 7379793639 9304957197 23779335059 71338005177 214014015531