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20103416125 = 53132951641
BaseRepresentation
bin10010101110010000…
…011100100100111101
31220220001010100111121
4102232100130210331
5312132433304000
613122501550541
71311116134432
oct225620344475
956801110447
1020103416125
1185869440a1
123a90715451
131b84c46300
14d89d25b89
157c9d97b1a
hex4ae41c93d

20103416125 has 24 divisors (see below), whose sum is σ = 27167475816. Its totient is φ = 14845584000.

The previous prime is 20103416119. The next prime is 20103416159. The reversal of 20103416125 is 52161430102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19773703161 + 329712964 = 140619^2 + 18158^2 .

It is not a de Polignac number, because 20103416125 - 217 = 20103285053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 20103416125.

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 23 ways as a sum of consecutive naturals, for example, 454696 + ... + 496945.

It is an arithmetic number, because the mean of its divisors is an integer number (1131978159).

Almost surely, 220103416125 is an apocalyptic number.

20103416125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20103416125 is a deficient number, since it is larger than the sum of its proper divisors (7064059691).

20103416125 is an equidigital number, since it uses as much as digits as its factorization.

20103416125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951682 (or 951659 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 20103416125 its reverse (52161430102), we get a palindrome (72264846227).

The spelling of 20103416125 in words is "twenty billion, one hundred three million, four hundred sixteen thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 845 1625 4225 21125 951641 4758205 12371333 23791025 61856665 118955125 160827329 309283325 804136645 1546416625 4020683225 20103416125