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10014314310 = 23557111323179
BaseRepresentation
bin10010101001110011…
…00100111101000110
3221211220200212200000
421110321210331012
5131002131024220
64333413302130
7503110160430
oct112471447506
927756625600
1010014314310
114279901620
121b35934946
13c3795c990
146b000b650
153d9289390
hex254e64f46

10014314310 has 768 divisors, whose sum is σ = 38041436160. Its totient is φ = 1827048960.

The previous prime is 10014314279. The next prime is 10014314311. The reversal of 10014314310 is 1341341001.

10014314310 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 2×100143143102 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014314311) 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 383 ways as a sum of consecutive naturals, for example, 55945801 + ... + 55945979.

It is an arithmetic number, because the mean of its divisors is an integer number (49533120).

Almost surely, 210014314310 is an apocalyptic number.

10014314310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014314310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020718080).

10014314310 is an abundant number, since it is smaller than the sum of its proper divisors (28027121850).

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

10014314310 is a wasteful number, since it uses less digits than its factorization.

10014314310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10014314310 its reverse (1341341001), we get a palindrome (11355655311).

The spelling of 10014314310 in words is "ten billion, fourteen million, three hundred fourteen thousand, three hundred ten".