Search a number
-
+
10313233002 = 232572957389
BaseRepresentation
bin10011001101011011…
…10111001001101010
3222121202011112000200
421212231313021222
5132110141424002
64423212213030
7513400014462
oct114655671152
928552145020
1010313233002
114412607666
121bb9a6a176
13c8486c547
146db9bcba2
15405632b1c
hex266b7726a

10313233002 has 12 divisors (see below), whose sum is σ = 22345338210. Its totient is φ = 3437744328.

The previous prime is 10313232991. The next prime is 10313233009. The reversal of 10313233002 is 20033231301.

10313233002 is a `hidden beast` number, since 10 + 31 + 323 + 300 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8291741481 + 2021491521 = 91059^2 + 44961^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 572957389 = 10313233002 / (1 + 0 + 3 + 1 + 3 + 2 + 3 + 3 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (10313233009) 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 5 ways as a sum of consecutive naturals, for example, 286478677 + ... + 286478712.

Almost surely, 210313233002 is an apocalyptic number.

10313233002 is an abundant number, since it is smaller than the sum of its proper divisors (12032105208).

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

10313233002 is a wasteful number, since it uses less digits than its factorization.

10313233002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572957397 (or 572957394 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10313233002 its reverse (20033231301), we get a palindrome (30346464303).

The spelling of 10313233002 in words is "ten billion, three hundred thirteen million, two hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 572957389 1145914778 1718872167 3437744334 5156616501 10313233002