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400020401322 = 232103321513413
BaseRepresentation
bin1011101001000110001…
…00101110110010101010
31102020112002221212100100
411310203010232302222
523023220210320242
6503433345250230
740620610211043
oct5644304566252
91366462855310
10400020401322
111447140a71a3
126563a033976
132b94c932329
141550ab938ca
15a6135c854c
hex5d2312ecaa

400020401322 has 24 divisors (see below), whose sum is σ = 867549932964. Its totient is φ = 133211047104.

The previous prime is 400020401279. The next prime is 400020401323. The reversal of 400020401322 is 223104020004.

It can be written as a sum of positive squares in 2 ways, for example, as 273069998721 + 126950402601 = 522561^2 + 356301^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400020401295 and 400020401304.

It is not an unprimeable number, because it can be changed into a prime (400020401323) 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 11 ways as a sum of consecutive naturals, for example, 10738113 + ... + 10775300.

Almost surely, 2400020401322 is an apocalyptic number.

400020401322 is an abundant number, since it is smaller than the sum of its proper divisors (467529531642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400020401322 is a wasteful number, since it uses less digits than its factorization.

400020401322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21514454 (or 21514451 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 400020401322 its reverse (223104020004), we get a palindrome (623124421326).

The spelling of 400020401322 in words is "four hundred billion, twenty million, four hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 1033 2066 3099 6198 9297 18594 21513413 43026826 64540239 129080478 193620717 387241434 22223355629 44446711258 66670066887 133340133774 200010200661 400020401322