Search a number
-
+
20211131322 = 2321378195917
BaseRepresentation
bin10010110100101011…
…010110001110111010
31221011112210211222100
4102310223112032322
5312343022200242
613141310404230
71313564532054
oct226453261672
957145724870
1020211131322
118631725118
123b00800676
131ba135b705
14d9a3648d4
157d457354c
hex4b4ad63ba

20211131322 has 24 divisors (see below), whose sum is σ = 44110430676. Its totient is φ = 6687867456.

The previous prime is 20211131263. The next prime is 20211131351. The reversal of 20211131322 is 22313111202.

20211131322 is a `hidden beast` number, since 2 + 0 + 211 + 131 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19866620601 + 344510721 = 140949^2 + 18561^2 .

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 = 20211131295 and 20211131304.

It is an unprimeable number.

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, 4095493 + ... + 4100424.

Almost surely, 220211131322 is an apocalyptic number.

20211131322 is an abundant number, since it is smaller than the sum of its proper divisors (23899299354).

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

20211131322 is a wasteful number, since it uses less digits than its factorization.

20211131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196062 (or 8196059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20211131322 its reverse (22313111202), we get a palindrome (42524242524).

The spelling of 20211131322 in words is "twenty billion, two hundred eleven million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 8195917 16391834 24587751 49175502 73763253 147526506 1122840629 2245681258 3368521887 6737043774 10105565661 20211131322