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20000432101 = 1325710935477
BaseRepresentation
bin10010101000000111…
…100101111111100101
31220121212100012222111
4102220013211333211
5311430102311401
613104342401021
71305425603446
oct225007457745
956555305874
1020000432101
1185337a4731
123a62130171
131b697c9510
14d7a3992cd
157c0d03e51
hex4a81e5fe5

20000432101 has 16 divisors (see below), whose sum is σ = 21646470384. Its totient is φ = 18369921024.

The previous prime is 20000432093. The next prime is 20000432113. The reversal of 20000432101 is 10123400002.

It can be written as a sum of positive squares in 8 ways, for example, as 11215869025 + 8784563076 = 105905^2 + 93726^2 .

It is not a de Polignac number, because 20000432101 - 23 = 20000432093 is a prime.

It is a super-2 number, since 2×200004321012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000432131) 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, 3648975 + ... + 3654451.

It is an arithmetic number, because the mean of its divisors is an integer number (1352904399).

Almost surely, 220000432101 is an apocalyptic number.

It is an amenable number.

20000432101 is a deficient number, since it is larger than the sum of its proper divisors (1646038283).

20000432101 is a wasteful number, since it uses less digits than its factorization.

20000432101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20000432101 its reverse (10123400002), we get a palindrome (30123832103).

The spelling of 20000432101 in words is "twenty billion, four hundred thirty-two thousand, one hundred one".

Divisors: 1 13 257 1093 3341 5477 14209 71201 280901 1407589 3651713 5986361 18298657 77822693 1538494777 20000432101