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20400440121 = 3223310199547
BaseRepresentation
bin10010111111111101…
…100000001100111001
31221122202000201211100
4102333331200030321
5313240003040441
613212152122013
71321353610545
oct227775401471
957582021740
1020400440121
118719575676
123b54096309
131c01641659
14db7562a25
157e5eb9cb6
hex4bff60339

20400440121 has 24 divisors (see below), whose sum is σ = 29625916320. Its totient is φ = 13527216576.

The previous prime is 20400440119. The next prime is 20400440131. The reversal of 20400440121 is 12104400402.

20400440121 is a `hidden beast` number, since 204 + 0 + 0 + 440 + 1 + 21 = 666.

It is not a de Polignac number, because 20400440121 - 21 = 20400440119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20400440094 and 20400440103.

It is not an unprimeable number, because it can be changed into a prime (20400440131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132070 + ... + 2141616.

It is an arithmetic number, because the mean of its divisors is an integer number (1234413180).

Almost surely, 220400440121 is an apocalyptic number.

It is an amenable number.

20400440121 is a deficient number, since it is larger than the sum of its proper divisors (9225476199).

20400440121 is a wasteful number, since it uses less digits than its factorization.

20400440121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20400440121 its reverse (12104400402), we get a palindrome (32504840523).

The spelling of 20400440121 in words is "twenty billion, four hundred million, four hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 233 699 1019 2097 3057 9171 9547 28641 85923 237427 712281 2136843 2224451 6673353 9728393 20020059 29185179 87555537 2266715569 6800146707 20400440121