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20400104431 = 7172636311033
BaseRepresentation
bin10010111111111100…
…001110001111101111
31221122201101200100101
4102333330032033233
5313234411320211
613212141011531
71321351012060
oct227774161757
957581350311
1020400104431
118719366443
123b53b53ba7
131c01554915
14db74b6567
157e5e505c1
hex4bff0e3ef

20400104431 has 32 divisors (see below), whose sum is σ = 24842999808. Its totient is φ = 16352824320.

The previous prime is 20400104411. The next prime is 20400104479. The reversal of 20400104431 is 13440100402.

It is not a de Polignac number, because 20400104431 - 27 = 20400104303 is a prime.

It is a super-2 number, since 2×204001044312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20400104399 and 20400104408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400104411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19747891 + ... + 19748923.

It is an arithmetic number, because the mean of its divisors is an integer number (776343744).

Almost surely, 220400104431 is an apocalyptic number.

20400104431 is a deficient number, since it is larger than the sum of its proper divisors (4442895377).

20400104431 is a wasteful number, since it uses less digits than its factorization.

20400104431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20400104431 its reverse (13440100402), we get a palindrome (33840204833).

The spelling of 20400104431 in words is "twenty billion, four hundred million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 7 17 119 263 631 1033 1841 4417 4471 7231 10727 17561 31297 75089 122927 165953 271679 651823 1161671 1901753 2821201 4562761 4618543 11080991 19748407 32329801 77566937 171429449 1200006143 2914300633 20400104431