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22011013314 = 2325323072341
BaseRepresentation
bin10100011111111101…
…010110100011000010
32002210222121022220100
4110133331112203002
5330034304411224
614040044223230
71406311345323
oct243775264302
962728538810
1022011013314
1193757090a4
12432353ab16
1320ca209b44
1410cb40a44a
1588c5a6ac9
hex51ff568c2

22011013314 has 24 divisors (see below), whose sum is σ = 48590352252. Its totient is φ = 7198570080.

The previous prime is 22011013301. The next prime is 22011013337. The reversal of 22011013314 is 41331011022.

22011013314 is a `hidden beast` number, since 220 + 110 + 1 + 331 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21192080625 + 818932689 = 145575^2 + 28617^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 11535217 + ... + 11537124.

Almost surely, 222011013314 is an apocalyptic number.

22011013314 is an abundant number, since it is smaller than the sum of its proper divisors (26579338938).

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

22011013314 is a wasteful number, since it uses less digits than its factorization.

22011013314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23072402 (or 23072399 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22011013314 its reverse (41331011022), we get a palindrome (63342024336).

The spelling of 22011013314 in words is "twenty-two billion, eleven million, thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 23072341 46144682 69217023 138434046 207651069 415302138 1222834073 2445668146 3668502219 7337004438 11005506657 22011013314