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10024341314 = 213729752837
BaseRepresentation
bin10010101010111111…
…10100111101000010
3221212121120022010112
421111133310331002
5131012212410224
64334412231322
7503261331611
oct112537647502
927777508115
1010024341314
11428452aaa9
121b3916b542
13c39a60910
146b149b878
153da0ba30e
hex2557f4f42

10024341314 has 16 divisors (see below), whose sum is σ = 16195692408. Its totient is φ = 4625897472.

The previous prime is 10024341311. The next prime is 10024341323. The reversal of 10024341314 is 41314342001.

It can be written as a sum of positive squares in 4 ways, for example, as 2563700689 + 7460640625 = 50633^2 + 86375^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10024341314.

It is not an unprimeable number, because it can be changed into a prime (10024341311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163304 + ... + 216140.

Almost surely, 210024341314 is an apocalyptic number.

10024341314 is a deficient number, since it is larger than the sum of its proper divisors (6171351094).

10024341314 is a wasteful number, since it uses less digits than its factorization.

10024341314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60149.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10024341314 its reverse (41314342001), we get a palindrome (51338683315).

The spelling of 10024341314 in words is "ten billion, twenty-four million, three hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 13 26 7297 14594 52837 94861 105674 189722 686881 1373762 385551589 771103178 5012170657 10024341314