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214185381111 = 3313267700591
BaseRepresentation
bin1100011101111001110…
…0011000110011110111
3202110211221120201011000
43013132130120303313
512002122424143421
6242221224014343
721321466462152
oct3073634306367
9673757521130
10214185381111
1182921077a69
12356163013b3
1317275167300
14a51c052c99
1558889c5226
hex31de718cf7

214185381111 has 48 divisors (see below), whose sum is σ = 348726673920. Its totient is φ = 129838943520.

The previous prime is 214185381097. The next prime is 214185381127. The reversal of 214185381111 is 111183581412.

It is a happy number.

214185381111 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 8 + 538 + 1 + 111 = 666.

It is not a de Polignac number, because 214185381111 - 29 = 214185380599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214185381611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44575 + ... + 656016.

It is an arithmetic number, because the mean of its divisors is an integer number (7265139040).

Almost surely, 2214185381111 is an apocalyptic number.

214185381111 is a deficient number, since it is larger than the sum of its proper divisors (134541292809).

214185381111 is a wasteful number, since it uses less digits than its factorization.

214185381111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700693 (or 700674 counting only the distinct ones).

The product of its digits is 7680, while the sum is 36.

The spelling of 214185381111 in words is "two hundred fourteen billion, one hundred eighty-five million, three hundred eighty-one thousand, one hundred eleven".

Divisors: 1 3 9 13 27 39 67 117 169 201 351 507 603 871 1521 1809 2613 4563 7839 11323 23517 33969 101907 305721 700591 2101773 6305319 9107683 18915957 27323049 46939597 81969147 118399879 140818791 245907441 355199637 422456373 610214761 1065598911 1267369119 1830644283 3196796733 5491932849 7932791893 16475798547 23798375679 71395127037 214185381111