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31133011131 = 3236765914303
BaseRepresentation
bin11100111111101011…
…000000110010111011
32222100201020211110100
4130333223000302323
51002230022324011
622145144250443
72151335141205
oct347753006273
988321224410
1031133011131
1112226856072
12604a470a23
132c220334a1
141714adb775
15c23330d56
hex73fac0cbb

31133011131 has 24 divisors (see below), whose sum is σ = 45164021760. Its totient is φ = 20665932336.

The previous prime is 31133011123. The next prime is 31133011153. The reversal of 31133011131 is 13111033113.

31133011131 is a `hidden beast` number, since 311 + 330 + 11 + 13 + 1 = 666.

It is not a de Polignac number, because 31133011131 - 23 = 31133011123 is a prime.

It is a super-2 number, since 2×311330111312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31133011181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169526 + ... + 2183828.

It is an arithmetic number, because the mean of its divisors is an integer number (1881834240).

Almost surely, 231133011131 is an apocalyptic number.

31133011131 is a deficient number, since it is larger than the sum of its proper divisors (14031010629).

31133011131 is a wasteful number, since it uses less digits than its factorization.

31133011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15335 (or 15332 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31133011131 its reverse (13111033113), we get a palindrome (44244044244).

The spelling of 31133011131 in words is "thirty-one billion, one hundred thirty-three million, eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 367 659 1101 1977 3303 5931 14303 42909 128727 241853 725559 2176677 5249201 9425677 15747603 28277031 47242809 84831093 3459223459 10377670377 31133011131