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31132185093 = 3267109473659
BaseRepresentation
bin11100111111100111…
…110111001000000101
32222100122200212100100
4130333213313020011
51002224314410333
622145114434313
72151325131012
oct347747671005
988318625310
1031132185093
1112226341499
12604a132999
132c21b044c9
141714964709
15c2321b213
hex73f9f7205

31132185093 has 24 divisors (see below), whose sum is σ = 46058698400. Its totient is φ = 20257405344.

The previous prime is 31132185089. The next prime is 31132185103. The reversal of 31132185093 is 39058123113.

31132185093 is a `hidden beast` number, since 3 + 1 + 132 + 18 + 509 + 3 = 666.

It is not a de Polignac number, because 31132185093 - 22 = 31132185089 is a prime.

It is a super-2 number, since 2×311321850932 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132185893) 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, 171103 + ... + 302556.

Almost surely, 231132185093 is an apocalyptic number.

It is an amenable number.

31132185093 is a deficient number, since it is larger than the sum of its proper divisors (14926513307).

31132185093 is a wasteful number, since it uses less digits than its factorization.

31132185093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473841 (or 473838 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

It can be divided in two parts, 31132 and 185093, that added together give a square (216225 = 4652).

The spelling of 31132185093 in words is "thirty-one billion, one hundred thirty-two million, one hundred eighty-five thousand, ninety-three".

Divisors: 1 3 9 67 109 201 327 603 981 7303 21909 65727 473659 1420977 4262931 31735153 51628831 95205459 154886493 285616377 464659479 3459131677 10377395031 31132185093