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214122413112 = 23317483510311
BaseRepresentation
bin1100011101101010110…
…0001011110000111000
3202110200120002121021220
43013122230023300320
512002010314204422
6242211054232040
721320103324036
oct3073254136070
9673616077256
10214122413112
118289957a1a3
12355b91b5620
13172650bb43a
14a513941556
1558831d7e5c
hex31dab0bc38

214122413112 has 32 divisors (see below), whose sum is σ = 535337700480. Its totient is φ = 71369915360.

The previous prime is 214122413101. The next prime is 214122413117. The reversal of 214122413112 is 211314221412.

214122413112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (214122413117) 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 7 ways as a sum of consecutive naturals, for example, 164437 + ... + 674747.

It is an arithmetic number, because the mean of its divisors is an integer number (16729303140).

Almost surely, 2214122413112 is an apocalyptic number.

It is an amenable number.

214122413112 is an abundant number, since it is smaller than the sum of its proper divisors (321215287368).

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

214122413112 is a wasteful number, since it uses less digits than its factorization.

214122413112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527803 (or 527799 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 214122413112 its reverse (211314221412), we get a palindrome (425436634524).

The spelling of 214122413112 in words is "two hundred fourteen billion, one hundred twenty-two million, four hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 17483 34966 52449 69932 104898 139864 209796 419592 510311 1020622 1530933 2041244 3061866 4082488 6123732 12247464 8921767213 17843534426 26765301639 35687068852 53530603278 71374137704 107061206556 214122413112