Search a number
-
+
31132120410 = 2325418436889
BaseRepresentation
bin11100111111100111…
…100111010101011010
32222100122120120121200
4130333213213111122
51002224310323120
622145113215030
72151324441306
oct347747472532
988318516550
1031132120410
11122262a7936
12604a101476
132c21ab0c31
141714948d06
15c23206e90
hex73f9e755a

31132120410 has 48 divisors (see below), whose sum is σ = 82917754920. Its totient is φ = 8099412480.

The previous prime is 31132120403. The next prime is 31132120423. The reversal of 31132120410 is 1402123113.

31132120410 is a `hidden beast` number, since 3 + 1 + 132 + 120 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16842069729 + 14290050681 = 129777^2 + 119541^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4214755 + ... + 4222134.

Almost surely, 231132120410 is an apocalyptic number.

31132120410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31132120410 is an abundant number, since it is smaller than the sum of its proper divisors (51785634510).

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

31132120410 is a wasteful number, since it uses less digits than its factorization.

31132120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436943 (or 8436940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31132120410 its reverse (1402123113), we get a palindrome (32534243523).

The spelling of 31132120410 in words is "thirty-one billion, one hundred thirty-two million, one hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 8436889 16873778 25310667 42184445 50621334 75932001 84368890 126553335 151864002 253106670 345912449 379660005 691824898 759320010 1037737347 1729562245 2075474694 3113212041 3459124490 5188686735 6226424082 10377373470 15566060205 31132120410