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10203331321314 = 232849776670649
BaseRepresentation
bin1001010001111010010111…
…1100000101110111100010
31100010102120200222121001200
42110132211330011313202
52314132410304240224
633411202400542030
72102111030144325
oct224364574056742
940112520877050
1010203331321314
11328423259222a
121189583021916
135902296a5231
14273bb58207bc
1512a62aaa55c9
hex947a5f05de2

10203331321314 has 24 divisors (see below), whose sum is σ = 22107481332300. Its totient is φ = 3401069906688.

The previous prime is 10203331321307. The next prime is 10203331321327. The reversal of 10203331321314 is 41312313330201.

10203331321314 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 331 + 321 + 3 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8532141686289 + 1671189635025 = 2920983^2 + 1292745^2 .

It is a super-2 number, since 2×102033313213142 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1805739 + ... + 4864910.

Almost surely, 210203331321314 is an apocalyptic number.

10203331321314 is an abundant number, since it is smaller than the sum of its proper divisors (11904150010986).

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

10203331321314 is a wasteful number, since it uses less digits than its factorization.

10203331321314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755634 (or 6755631 counting only the distinct ones).

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

Adding to 10203331321314 its reverse (41312313330201), we get a palindrome (51515644651515).

The spelling of 10203331321314 in words is "ten trillion, two hundred three billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 84977 169954 254931 509862 764793 1529586 6670649 13341298 20011947 40023894 60035841 120071682 566851740073 1133703480146 1700555220219 3401110440438 5101665660657 10203331321314