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31143134133 = 3229493724169
BaseRepresentation
bin11101000000010001…
…101000001110110101
32222101102022010121100
4131000101220032311
51002240120243013
622150145240313
72151520162266
oct350021501665
988342263540
1031143134133
111223153a691
126051933099
132c24169027
1417161b496d
15c24180473
hex7404683b5

31143134133 has 24 divisors (see below), whose sum is σ = 46547069400. Its totient is φ = 20041265664.

The previous prime is 31143134123. The next prime is 31143134171. The reversal of 31143134133 is 33143134113.

31143134133 is a `hidden beast` number, since 311 + 4 + 3 + 1 + 341 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12544448004 + 18598686129 = 112002^2 + 136377^2 .

It is not a de Polignac number, because 31143134133 - 25 = 31143134101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31143134097 and 31143134106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143134123) 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, 1276473 + ... + 1300641.

It is an arithmetic number, because the mean of its divisors is an integer number (1939461225).

Almost surely, 231143134133 is an apocalyptic number.

It is an amenable number.

31143134133 is a deficient number, since it is larger than the sum of its proper divisors (15403935267).

31143134133 is a wasteful number, since it uses less digits than its factorization.

31143134133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29141 (or 29138 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 31143134133 its reverse (33143134113), we get a palindrome (64286268246).

The spelling of 31143134133 in words is "thirty-one billion, one hundred forty-three million, one hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 261 4937 14811 24169 44433 72507 143173 217521 429519 700901 1288557 2102703 6308109 119322353 357967059 1073901177 3460348237 10381044711 31143134133