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10214141014 = 2711313721143
BaseRepresentation
bin10011000001100111…
…10110110001010110
3222100211201010101001
421200303312301112
5131404310003024
64405312253514
7511054523530
oct114063666126
928324633331
1010214141014
114371686360
121b9084129a
13c6a18612c
146cc786850
153ebaac244
hex260cf6c56

10214141014 has 32 divisors (see below), whose sum is σ = 19108763136. Its totient is φ = 3978078720.

The previous prime is 10214140997. The next prime is 10214141111. The reversal of 10214141014 is 41014141201.

10214141014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10214140982 and 10214141000.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 472527 + ... + 493669.

It is an arithmetic number, because the mean of its divisors is an integer number (597148848).

Almost surely, 210214141014 is an apocalyptic number.

10214141014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10214141014 is a deficient number, since it is larger than the sum of its proper divisors (8894622122).

10214141014 is a wasteful number, since it uses less digits than its factorization.

10214141014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24300.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10214141014 its reverse (41014141201), we get a palindrome (51228282215).

The spelling of 10214141014 in words is "ten billion, two hundred fourteen million, one hundred forty-one thousand, fourteen".

Divisors: 1 2 7 11 14 22 77 154 3137 6274 21143 21959 34507 42286 43918 69014 148001 232573 241549 296002 465146 483098 1628011 3256022 66325591 132651182 464279137 729581501 928558274 1459163002 5107070507 10214141014