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20400431321 = 2915719012357
BaseRepresentation
bin10010111111111101…
…011110000011011001
31221122202000021202102
4102333331132003121
5313240002300241
613212152013145
71321353543104
oct227775360331
957582007672
1020400431321
118719569aa6
123b540911b5
131c0163a64a
14db755d73b
157e5eb739b
hex4bff5e0d9

20400431321 has 16 divisors (see below), whose sum is σ = 21258501840. Its totient is φ = 19552915200.

The previous prime is 20400431287. The next prime is 20400431329. The reversal of 20400431321 is 12313400402.

It can be written as a sum of positive squares in 8 ways, for example, as 4916113225 + 15484318096 = 70115^2 + 124436^2 .

It is a cyclic number.

It is not a de Polignac number, because 20400431321 - 230 = 19326689497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20400431293 and 20400431302.

It is not an unprimeable number, because it can be changed into a prime (20400431329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8654075 + ... + 8656431.

It is an arithmetic number, because the mean of its divisors is an integer number (1328656365).

Almost surely, 220400431321 is an apocalyptic number.

It is an amenable number.

20400431321 is a deficient number, since it is larger than the sum of its proper divisors (858070519).

20400431321 is a wasteful number, since it uses less digits than its factorization.

20400431321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20400431321 its reverse (12313400402), we get a palindrome (32713831723).

The spelling of 20400431321 in words is "twenty billion, four hundred million, four hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 29 157 1901 2357 4553 55129 68353 298457 370049 4480657 8655253 10731421 129939053 703463149 20400431321