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10454313213 = 3224119492473
BaseRepresentation
bin10011011110010000…
…00010100011111101
3222222120122010200200
421233020002203331
5132402301010323
64445212114113
7520032124161
oct115710024375
928876563620
1010454313213
114485207283
122039165939
13ca7b67466
14712624ca1
15412bee443
hex26f2028fd

10454313213 has 24 divisors (see below), whose sum is σ = 15177247800. Its totient is φ = 6934256640.

The previous prime is 10454313203. The next prime is 10454313277. The reversal of 10454313213 is 31231345401.

It is a happy number.

10454313213 is a `hidden beast` number, since 10 + 4 + 5 + 431 + 3 + 213 = 666.

10454313213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5559491844 + 4894821369 = 74562^2 + 69963^2 .

It is a de Polignac number, because none of the positive numbers 2k-10454313213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10454313203) 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 23 ways as a sum of consecutive naturals, for example, 4226145 + ... + 4228617.

It is an arithmetic number, because the mean of its divisors is an integer number (632385325).

Almost surely, 210454313213 is an apocalyptic number.

It is an amenable number.

10454313213 is a deficient number, since it is larger than the sum of its proper divisors (4722934587).

10454313213 is a wasteful number, since it uses less digits than its factorization.

10454313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10454313213 its reverse (31231345401), we get a palindrome (41685658614).

The spelling of 10454313213 in words is "ten billion, four hundred fifty-four million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 241 723 1949 2169 2473 5847 7419 17541 22257 469709 595993 1409127 1787979 4227381 4819877 5363937 14459631 43378893 1161590357 3484771071 10454313213