Search a number
-
+
10313333031321 = 324127949412009
BaseRepresentation
bin1001011000010100001010…
…0011010100000110011001
31100111221111220121110010100
42112011002203110012121
52322433201224000241
633533514011210013
72113054002226245
oct226050243240631
940457456543110
1010313333031321
1133169506a0071
1211a6962446909
1359a70a350578
1427924cd2b425
1512d417dd99b6
hex961428d4199

10313333031321 has 12 divisors (see below), whose sum is σ = 15260378957460. Its totient is φ = 6707858881920.

The previous prime is 10313333031319. The next prime is 10313333031329. The reversal of 10313333031321 is 12313033331301.

10313333031321 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 3 + 330 + 3 + 1 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2260587425625 + 8052745605696 = 1503525^2 + 2837736^2 .

It is not a de Polignac number, because 10313333031321 - 21 = 10313333031319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10313333031329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13974705636 + ... + 13974706373.

It is an arithmetic number, because the mean of its divisors is an integer number (1271698246455).

Almost surely, 210313333031321 is an apocalyptic number.

It is an amenable number.

10313333031321 is a deficient number, since it is larger than the sum of its proper divisors (4947045926139).

10313333031321 is a wasteful number, since it uses less digits than its factorization.

10313333031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27949412056 (or 27949412053 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 10313333031321 its reverse (12313033331301), we get a palindrome (22626366362622).

The spelling of 10313333031321 in words is "ten trillion, three hundred thirteen billion, three hundred thirty-three million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 41 123 369 27949412009 83848236027 251544708081 1145925892369 3437777677107 10313333031321