Search a number
-
+
31330013121 = 32111992917929
BaseRepresentation
bin11101001011011010…
…100000111111000001
32222212102221120101100
4131023122200333001
51003130440404441
622220502525013
72156246501061
oct351332407701
988772846340
1031330013121
1112317a80630
1260a4436769
132c53aab004
141732d3d3a1
15c35796cb6
hex74b6a0fc1

31330013121 has 48 divisors (see below), whose sum is σ = 52025688000. Its totient is φ = 17968158720.

The previous prime is 31330013093. The next prime is 31330013129. The reversal of 31330013121 is 12131003313.

It is a happy number.

31330013121 is a `hidden beast` number, since 313 + 300 + 1 + 31 + 21 = 666.

It is not a de Polignac number, because 31330013121 - 211 = 31330011073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31330013094 and 31330013103.

It is not an unprimeable number, because it can be changed into a prime (31330013129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1738485 + ... + 1756413.

It is an arithmetic number, because the mean of its divisors is an integer number (1083868500).

Almost surely, 231330013121 is an apocalyptic number.

It is an amenable number.

31330013121 is a deficient number, since it is larger than the sum of its proper divisors (20695674879).

31330013121 is a wasteful number, since it uses less digits than its factorization.

31330013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18894 (or 18891 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31330013121 its reverse (12131003313), we get a palindrome (43461016434).

The spelling of 31330013121 in words is "thirty-one billion, three hundred thirty million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 929 1881 2787 8361 10219 17651 17929 30657 52953 53787 91971 158859 161361 194161 197219 340651 582483 591657 1021953 1747449 1774971 3065859 3747161 11241483 16656041 33724449 49968123 149904369 183216451 316464779 549649353 949394337 1648948059 2848183011 3481112569 10443337707 31330013121