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10024201314 = 232717843663
BaseRepresentation
bin10010101010111110…
…10010110001100010
3221212121022012002100
421111133102301202
5131012143420224
64334405231230
7503260206501
oct112537226142
927777265070
1010024201314
1142844448a6
121b39102516
13c39a11c8a
146b1462838
153da08dac9
hex2557d2c62

10024201314 has 24 divisors (see below), whose sum is σ = 22025008512. Its totient is φ = 3294338040.

The previous prime is 10024201273. The next prime is 10024201333. The reversal of 10024201314 is 41310242001.

10024201314 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 2×100242013142 (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 an unprimeable number.

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, 3920554 + ... + 3923109.

It is an arithmetic number, because the mean of its divisors is an integer number (917708688).

Almost surely, 210024201314 is an apocalyptic number.

10024201314 is an abundant number, since it is smaller than the sum of its proper divisors (12000807198).

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

10024201314 is a wasteful number, since it uses less digits than its factorization.

10024201314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843742 (or 7843739 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10024201314 its reverse (41310242001), we get a palindrome (51334443315).

The spelling of 10024201314 in words is "ten billion, twenty-four million, two hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 7843663 15687326 23530989 47061978 70592967 141185934 556900073 1113800146 1670700219 3341400438 5012100657 10024201314