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10102414301 = 76773295073
BaseRepresentation
bin10010110100010011…
…01001101111011101
3222002001110211010122
421122021221233131
5131142204224201
64350241444325
7505230050630
oct113211515735
928061424118
1010102414301
114314605431
121b5b3406a5
13c4cc97b55
146bb9c1c17
153e1d8ce1b
hex25a269bdd

10102414301 has 16 divisors (see below), whose sum is σ = 11878498944. Its totient is φ = 8413092864.

The previous prime is 10102414279. The next prime is 10102414303. The reversal of 10102414301 is 10341420101.

It is a happy number.

10102414301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10102414301 - 226 = 10035305437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102414301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102414303) 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 15 ways as a sum of consecutive naturals, for example, 113300 + ... + 181773.

It is an arithmetic number, because the mean of its divisors is an integer number (742406184).

Almost surely, 210102414301 is an apocalyptic number.

It is an amenable number.

10102414301 is a deficient number, since it is larger than the sum of its proper divisors (1776084643).

10102414301 is an equidigital number, since it uses as much as digits as its factorization.

10102414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295220.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10102414301 its reverse (10341420101), we get a palindrome (20443834402).

The spelling of 10102414301 in words is "ten billion, one hundred two million, four hundred fourteen thousand, three hundred one".

Divisors: 1 7 67 73 469 511 4891 34237 295073 2065511 19769891 21540329 138389237 150782303 1443202043 10102414301