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211214152215 = 325111759425419
BaseRepresentation
bin1100010010110101011…
…0000011001000010111
3202012011212200122100100
43010231112003020113
511430031310332330
6241010324145143
721155040446223
oct3045526031027
9665155618310
10211214152215
11816369787a0
1234b272381b3
1316bc07175c1
14a3195b9783
155762c16060
hex312d583217

211214152215 has 96 divisors (see below), whose sum is σ = 430048569600. Its totient is φ = 94749096960.

The previous prime is 211214152189. The next prime is 211214152231. The reversal of 211214152215 is 512251412112.

211214152215 is a `hidden beast` number, since 2 + 1 + 1 + 21 + 415 + 221 + 5 = 666.

It is not a de Polignac number, because 211214152215 - 220 = 211213103639 is a prime.

It is a super-2 number, since 2×2112141522152 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 283776 + ... + 709194.

It is an arithmetic number, because the mean of its divisors is an integer number (4479672600).

Almost surely, 2211214152215 is an apocalyptic number.

211214152215 is an abundant number, since it is smaller than the sum of its proper divisors (218834417385).

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

211214152215 is a wasteful number, since it uses less digits than its factorization.

211214152215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425517 (or 425514 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

Adding to 211214152215 its reverse (512251412112), we get a palindrome (723465564327).

The spelling of 211214152215 in words is "two hundred eleven billion, two hundred fourteen million, one hundred fifty-two thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 59 85 99 153 165 177 187 255 295 495 531 561 649 765 885 935 1003 1683 1947 2655 2805 3009 3245 5015 5841 8415 9027 9735 11033 15045 29205 33099 45135 55165 99297 165495 425419 496485 1276257 2127095 3828771 4679609 6381285 7232123 14038827 19143855 21696369 23398045 25099721 36160615 42116481 65089107 70194135 75299163 79553353 108481845 125498605 210582405 225897489 238660059 276096931 325445535 376495815 397766765 426695257 715980177 828290793 1129487445 1193300295 1280085771 1380484655 2133476285 2484872379 3579900885 3840257313 4141453965 4693647827 6400428855 12424361895 14080943481 19201286565 23468239135 42242830443 70404717405 211214152215