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214313340033 = 32131831737949
BaseRepresentation
bin1100011110011000010…
…0100000110010000001
3202111011212100200210100
43013212010200302001
512002403203340113
6242242034353013
721324612222222
oct3074604406201
9674155320710
10214313340033
1182987325441
123565112b769
1317295819a50
14a531041249
155894d4dd73
hex31e6120c81

214313340033 has 12 divisors (see below), whose sum is σ = 333376306900. Its totient is φ = 131885132256.

The previous prime is 214313340001. The next prime is 214313340047. The reversal of 214313340033 is 330043313412.

214313340033 is a `hidden beast` number, since 2 + 1 + 4 + 313 + 340 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17739043344 + 196574296689 = 133188^2 + 443367^2 .

It is not a de Polignac number, because 214313340033 - 25 = 214313340001 is a prime.

It is a super-2 number, since 2×2143133400332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214313339979 and 214313340006.

It is not an unprimeable number, because it can be changed into a prime (214313340083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915868858 + ... + 915869091.

Almost surely, 2214313340033 is an apocalyptic number.

It is an amenable number.

214313340033 is a deficient number, since it is larger than the sum of its proper divisors (119062966867).

214313340033 is a wasteful number, since it uses less digits than its factorization.

214313340033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831737968 (or 1831737965 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 214313340033 its reverse (330043313412), we get a palindrome (544356653445).

The spelling of 214313340033 in words is "two hundred fourteen billion, three hundred thirteen million, three hundred forty thousand, thirty-three".

Divisors: 1 3 9 13 39 117 1831737949 5495213847 16485641541 23812593337 71437780011 214313340033