Search a number
-
+
31132030033 = 1329104978721
BaseRepresentation
bin11100111111100111…
…010001010001010001
32222100122101222122101
4130333213101101101
51002224244430113
622145111240401
72151323613646
oct347747212121
988318358571
1031132030033
1112226245a45
12604a079101
132c21a7ba60
141714923dcd
15c231da2dd
hex73f9d1451

31132030033 has 16 divisors (see below), whose sum is σ = 34716402000. Its totient is φ = 27719516160.

The previous prime is 31132030009. The next prime is 31132030073. The reversal of 31132030033 is 33003023113.

It can be written as a sum of positive squares in 8 ways, for example, as 321951249 + 30810078784 = 17943^2 + 175528^2 .

It is a cyclic number.

It is not a de Polignac number, because 31132030033 - 25 = 31132030001 is a prime.

It is a super-2 number, since 2×311320300332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31132030073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356113 + ... + 434833.

It is an arithmetic number, because the mean of its divisors is an integer number (2169775125).

Almost surely, 231132030033 is an apocalyptic number.

It is an amenable number.

31132030033 is a deficient number, since it is larger than the sum of its proper divisors (3584371967).

31132030033 is a wasteful number, since it uses less digits than its factorization.

31132030033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79812.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 31132030033 its reverse (33003023113), we get a palindrome (64135053146).

The spelling of 31132030033 in words is "thirty-one billion, one hundred thirty-two million, thirty thousand, thirty-three".

Divisors: 1 13 29 377 1049 13637 30421 78721 395473 1023373 2282909 29677817 82578329 1073518277 2394771541 31132030033