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20400200001 = 34251854321
BaseRepresentation
bin10010111111111100…
…100101100101000001
31221122201120112110000
4102333330211211001
5313234422400001
613212143030213
71321351560516
oct227774454501
957581515400
1020400200001
118719421225
123b53b9b369
131c0158927c
14db74dd30d
157e5e6da86
hex4bff25941

20400200001 has 10 divisors (see below), whose sum is σ = 30474372962. Its totient is φ = 13600133280.

The previous prime is 20400199987. The next prime is 20400200011. The reversal of 20400200001 is 10000200402.

It can be written as a sum of positive squares in only one way, i.e., 20374707600 + 25492401 = 142740^2 + 5049^2 .

It is not a de Polignac number, because 20400200001 - 29 = 20400199489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20400200011) 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 9 ways as a sum of consecutive naturals, for example, 125927080 + ... + 125927241.

Almost surely, 220400200001 is an apocalyptic number.

It is an amenable number.

20400200001 is a deficient number, since it is larger than the sum of its proper divisors (10074172961).

20400200001 is an equidigital number, since it uses as much as digits as its factorization.

20400200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251854333 (or 251854324 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20400200001 its reverse (10000200402), we get a palindrome (30400400403).

The spelling of 20400200001 in words is "twenty billion, four hundred million, two hundred thousand, one".

Divisors: 1 3 9 27 81 251854321 755562963 2266688889 6800066667 20400200001