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31122442314 = 2322979754703
BaseRepresentation
bin11100111111000010…
…101100100001001010
32222022222100212202200
4130333002230201022
51002214321123224
622144125541030
72151146252265
oct347702544112
988288325680
1031122442314
1112220897607
126046a14776
132c1caa2a52
141713549cdc
15c224445c9
hex73f0ac84a

31122442314 has 48 divisors (see below), whose sum is σ = 70640294400. Its totient is φ = 9889615008.

The previous prime is 31122442303. The next prime is 31122442349. The reversal of 31122442314 is 41324422113.

31122442314 is a `hidden beast` number, since 3 + 1 + 1 + 224 + 423 + 14 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336114 + ... + 418589.

It is an arithmetic number, because the mean of its divisors is an integer number (1471672800).

Almost surely, 231122442314 is an apocalyptic number.

31122442314 is an abundant number, since it is smaller than the sum of its proper divisors (39517852086).

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

31122442314 is a wasteful number, since it uses less digits than its factorization.

31122442314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754819 (or 754816 counting only the distinct ones).

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

Adding to 31122442314 its reverse (41324422113), we get a palindrome (72446864427).

The spelling of 31122442314 in words is "thirty-one billion, one hundred twenty-two million, four hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 79 87 158 174 237 261 474 522 711 1422 2291 4582 6873 13746 20619 41238 754703 1509406 2264109 4528218 6792327 13584654 21886387 43772774 59621537 65659161 119243074 131318322 178864611 196977483 357729222 393954966 536593833 1073187666 1729024573 3458049146 5187073719 10374147438 15561221157 31122442314