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10363214313 = 323174136277
BaseRepresentation
bin10011010011011001…
…00001100111101001
3222202020012211111100
421221230201213221
5132210440324223
64432155352013
7514544603544
oct115154414751
928666184440
1010363214313
114438845331
122012752609
13c9201c29a
147044ad85b
15409c07043
hex269b219e9

10363214313 has 12 divisors (see below), whose sum is σ = 14969971588. Its totient is φ = 6908401440.

The previous prime is 10363214311. The next prime is 10363214321. The reversal of 10363214313 is 31341236301.

10363214313 is a `hidden beast` number, since 1 + 0 + 3 + 632 + 14 + 3 + 13 = 666.

10363214313 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 2 ways, for example, as 7968775824 + 2394438489 = 89268^2 + 48933^2 .

It is not a de Polignac number, because 10363214313 - 21 = 10363214311 is a prime.

It is a super-3 number, since 3×103632143133 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10363214311) 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, 267531 + ... + 303807.

Almost surely, 210363214313 is an apocalyptic number.

It is an amenable number.

10363214313 is a deficient number, since it is larger than the sum of its proper divisors (4606757275).

10363214313 is a wasteful number, since it uses less digits than its factorization.

10363214313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68024 (or 68021 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

It can be divided in two parts, 10363 and 214313, that added together give a square (224676 = 4742).

The spelling of 10363214313 in words is "ten billion, three hundred sixty-three million, two hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 9 31741 36277 95223 108831 285669 326493 1151468257 3454404771 10363214313