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31221414234 = 2321841394201
BaseRepresentation
bin11101000100111100…
…001111100101011010
32222120212121011201100
4131010330033211122
51002420140223414
622202023132230
72153460433203
oct350474174532
988525534640
1031221414234
111227174668a
126073ba4076
132c3744660a
1417227505aa
15c2ae94609
hex744f0f95a

31221414234 has 24 divisors (see below), whose sum is σ = 67650789492. Its totient is φ = 10406462400.

The previous prime is 31221414233. The next prime is 31221414241. The reversal of 31221414234 is 43241412213.

31221414234 is a `hidden beast` number, since 3 + 1 + 221 + 414 + 23 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31058775225 + 162639009 = 176235^2 + 12753^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31221414198 and 31221414207.

It is not an unprimeable number, because it can be changed into a prime (31221414233) 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 11 ways as a sum of consecutive naturals, for example, 284334 + ... + 378534.

Almost surely, 231221414234 is an apocalyptic number.

31221414234 is an abundant number, since it is smaller than the sum of its proper divisors (36429375258).

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

31221414234 is a wasteful number, since it uses less digits than its factorization.

31221414234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112622 (or 112619 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 31221414234 its reverse (43241412213), we get a palindrome (74462826447).

The spelling of 31221414234 in words is "thirty-one billion, two hundred twenty-one million, four hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 18413 36826 55239 94201 110478 165717 188402 282603 331434 565206 847809 1695618 1734523013 3469046026 5203569039 10407138078 15610707117 31221414234