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31132134431 = 318364718701
BaseRepresentation
bin11100111111100111…
…101010110000011111
32222100122121021211222
4130333213222300133
51002224311300211
622145113403555
72151324530216
oct347747526037
988318537758
1031132134431
1112226307422
12604a1095bb
132c21ab7428
14171495007d
15c2320b1db
hex73f9eac1f

31132134431 has 16 divisors (see below), whose sum is σ = 32575592448. Its totient is φ = 29717292000.

The previous prime is 31132134427. The next prime is 31132134557. The reversal of 31132134431 is 13443123113.

It is a cyclic number.

It is not a de Polignac number, because 31132134431 - 22 = 31132134427 is a prime.

It is a super-2 number, since 2×311321344312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31132134431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132134331) 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 15 ways as a sum of consecutive naturals, for example, 1655381 + ... + 1674081.

It is an arithmetic number, because the mean of its divisors is an integer number (2035974528).

Almost surely, 231132134431 is an apocalyptic number.

31132134431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31132134431 is a deficient number, since it is larger than the sum of its proper divisors (1443458017).

31132134431 is a wasteful number, since it uses less digits than its factorization.

31132134431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19462.

The product of its digits is 2592, while the sum is 26.

Adding to 31132134431 its reverse (13443123113), we get a palindrome (44575257544).

The spelling of 31132134431 in words is "thirty-one billion, one hundred thirty-two million, one hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 31 83 647 2573 18701 20057 53701 579731 1552183 1664731 12099547 48117673 375085957 1004262401 31132134431