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31400435133 = 343710477289
BaseRepresentation
bin11101001111100111…
…001001110110111101
310000001100110101020000
4131033213021312331
51003302002411013
622231500144513
72161063203054
oct351747116675
9100040411200
1031400435133
11123537aa741
126103b38139
132c65566942
14173c43139b
15c3ba57973
hex74f9c9dbd

31400435133 has 20 divisors (see below), whose sum is σ = 48174579420. Its totient is φ = 20367847872.

The previous prime is 31400435113. The next prime is 31400435147. The reversal of 31400435133 is 33153400413.

31400435133 is a `hidden beast` number, since 3 + 140 + 0 + 4 + 3 + 513 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22636105209 + 8764329924 = 150453^2 + 93618^2 .

It is not a de Polignac number, because 31400435133 - 212 = 31400431037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31400435097 and 31400435106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31400435113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5235648 + ... + 5241641.

It is an arithmetic number, because the mean of its divisors is an integer number (2408728971).

Almost surely, 231400435133 is an apocalyptic number.

It is an amenable number.

31400435133 is a deficient number, since it is larger than the sum of its proper divisors (16774144287).

31400435133 is a wasteful number, since it uses less digits than its factorization.

31400435133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10477338 (or 10477329 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 31400435133 its reverse (33153400413), we get a palindrome (64553835546).

The spelling of 31400435133 in words is "thirty-one billion, four hundred million, four hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 27 37 81 111 333 999 2997 10477289 31431867 94295601 282886803 387659693 848660409 1162979079 3488937237 10466811711 31400435133