Search a number
-
+
10013330330964 = 2233831117060501
BaseRepresentation
bin1001000110110110100011…
…1111110101010101010100
31022110021011012121020012000
42101231220333311111110
52303024300031042324
633144021020155300
72052303442316052
oct221555077652524
938407135536160
1010013330330964
1132106a1a19a74
121158798098b30
13578339ab781c
1426890d6c51d2
1512570a3959c9
hex91b68ff5554

10013330330964 has 48 divisors (see below), whose sum is σ = 26273263007040. Its totient is φ = 3297562596000.

The previous prime is 10013330330963. The next prime is 10013330331079. The reversal of 10013330330964 is 46903303331001.

10013330330964 is a `hidden beast` number, since 1 + 0 + 0 + 13 + 330 + 3 + 309 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013330330963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558521287 + ... + 558539214.

It is an arithmetic number, because the mean of its divisors is an integer number (547359645980).

Almost surely, 210013330330964 is an apocalyptic number.

It is an amenable number.

10013330330964 is an abundant number, since it is smaller than the sum of its proper divisors (16259932676076).

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

10013330330964 is a wasteful number, since it uses less digits than its factorization.

10013330330964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117060597 (or 1117060589 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

Adding to 10013330330964 its reverse (46903303331001), we get a palindrome (56916633661965).

The spelling of 10013330330964 in words is "ten trillion, thirteen billion, three hundred thirty million, three hundred thirty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 1117060501 2234121002 3351181503 4468242004 6702363006 10053544509 13404726012 20107089018 30160633527 40214178036 60321267054 92716021583 120642534108 185432043166 278148064749 370864086332 556296129498 834444194247 1112592258996 1668888388494 2503332582741 3337776776988 5006665165482 10013330330964