Search a number
-
+
20001414103 = 1127910120717
BaseRepresentation
bin10010101000001011…
…010101101111010111
31220121221012010000221
4102220023111233113
5311430330222403
613104415415211
71305440133436
oct225013255727
956557163027
1020001414103
118534305500
123a62524507
131b69a81498
14d7a57311d
157c0e49dbd
hex4a82d5bd7

20001414103 has 24 divisors (see below), whose sum is σ = 22484831040. Its totient is φ = 17774328000.

The previous prime is 20001414101. The next prime is 20001414127. The reversal of 20001414103 is 30141410002.

It is not a de Polignac number, because 20001414103 - 21 = 20001414101 is a prime.

It is a super-2 number, since 2×200014141032 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001414101) 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 23 ways as a sum of consecutive naturals, for example, 955101 + ... + 975817.

It is an arithmetic number, because the mean of its divisors is an integer number (936867960).

Almost surely, 220001414103 is an apocalyptic number.

20001414103 is a deficient number, since it is larger than the sum of its proper divisors (2483416937).

20001414103 is a wasteful number, since it uses less digits than its factorization.

20001414103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20919 (or 20908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20001414103 its reverse (30141410002), we get a palindrome (50142824105).

The spelling of 20001414103 in words is "twenty billion, one million, four hundred fourteen thousand, one hundred three".

Divisors: 1 11 79 101 121 869 1111 7979 9559 12221 20717 87769 227887 965459 1636643 2092417 2506757 18003073 23016587 165300943 198033803 253182457 1818310373 20001414103