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10031302314 = 23211154932707
BaseRepresentation
bin10010101011110100…
…11000011010101010
3221220002122221211100
421111322120122222
5131021003133224
64335221342230
7503404443225
oct112572303252
927802587740
1010031302314
1142884549a0
121b3b567976
13c3b32a157
146b23905bc
153da9e2ac9
hex255e986aa

10031302314 has 48 divisors (see below), whose sum is σ = 23726383200. Its totient is φ = 3037733280.

The previous prime is 10031302313. The next prime is 10031302321. The reversal of 10031302314 is 41320313001.

10031302314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100313023142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10031302313) 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, 290349 + ... + 323055.

It is an arithmetic number, because the mean of its divisors is an integer number (494299650).

Almost surely, 210031302314 is an apocalyptic number.

10031302314 is an abundant number, since it is smaller than the sum of its proper divisors (13695080886).

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

10031302314 is a wasteful number, since it uses less digits than its factorization.

10031302314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34275 (or 34272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031302314 its reverse (41320313001), we get a palindrome (51351615315).

The spelling of 10031302314 in words is "ten billion, thirty-one million, three hundred two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1549 3098 4647 9294 13941 17039 27882 32707 34078 51117 65414 98121 102234 153351 196242 294363 306702 359777 588726 719554 1079331 2158662 3237993 6475986 50663143 101326286 151989429 303978858 455968287 557294573 911936574 1114589146 1671883719 3343767438 5015651157 10031302314