Search a number
-
+
31330032100 = 22521811730941
BaseRepresentation
bin11101001011011010…
…100101100111100100
32222212102222112102021
4131023122211213210
51003130442011400
622220503152524
72156246610313
oct351332454744
988772875367
1031330032100
1112317a93914
1260a4445744
132c53ab6843
141732d4627a
15c3579c71a
hex74b6a59e4

31330032100 has 36 divisors (see below), whose sum is σ = 68361823348. Its totient is φ = 12462768000.

The previous prime is 31330032091. The next prime is 31330032103. The reversal of 31330032100 is 123003313.

It can be written as a sum of positive squares in 6 ways, for example, as 6450017344 + 24880014756 = 80312^2 + 157734^2 .

It is a super-2 number, since 2×313300321002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31330032103) 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 11 ways as a sum of consecutive naturals, for example, 847371 + ... + 883570.

Almost surely, 231330032100 is an apocalyptic number.

It is an amenable number.

31330032100 is an abundant number, since it is smaller than the sum of its proper divisors (37031791248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31330032100 is a wasteful number, since it uses less digits than its factorization.

31330032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731136 (or 1731129 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 31330032100 its reverse (123003313), we get a palindrome (31453035413).

The spelling of 31330032100 in words is "thirty-one billion, three hundred thirty million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 1730941 3461882 6923764 8654705 17309410 34618820 43273525 86547050 173094100 313300321 626600642 1253201284 1566501605 3133003210 6266006420 7832508025 15665016050 31330032100