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10540210314 = 2397127142601
BaseRepresentation
bin10011101000011111…
…01101100010001010
31000012120021011100210
421310033231202022
5133041243212224
64501521141550
7522124211064
oct116417554212
930176234323
1010540210314
114519746017
122061a8a8b6
13cbc8b0a4a
1471dbc4734
1541a51a429
hex2743ed88a

10540210314 has 32 divisors (see below), whose sum is σ = 21465593856. Its totient is φ = 3449779200.

The previous prime is 10540210301. The next prime is 10540210349. The reversal of 10540210314 is 41301204501.

10540210314 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 2×105402103142 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2614 + ... + 145214.

It is an arithmetic number, because the mean of its divisors is an integer number (670799808).

Almost surely, 210540210314 is an apocalyptic number.

10540210314 is an abundant number, since it is smaller than the sum of its proper divisors (10925383542).

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

10540210314 is a wasteful number, since it uses less digits than its factorization.

10540210314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142830.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10540210314 its reverse (41301204501), we get a palindrome (51841414815).

The spelling of 10540210314 in words is "ten billion, five hundred forty million, two hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 97 127 194 254 291 381 582 762 12319 24638 36957 73914 142601 285202 427803 855606 13832297 18110327 27664594 36220654 41496891 54330981 82993782 108661962 1756701719 3513403438 5270105157 10540210314