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4022022413133 = 3497511903069
BaseRepresentation
bin111010100001110011001…
…101111001101101001101
3112020111112122202012110000
4322201303031321231031
51011344100214210013
612315405214434513
7563403315301164
oct72416315715515
915214478665400
104022022413133
1113108038865aa
1254b5b3202a39
1323237649731a
14dc94a0763db
156e94e564973
hex3a873379b4d

4022022413133 has 20 divisors (see below), whose sum is σ = 6070146604060. Its totient is φ = 2653705504512.

The previous prime is 4022022413111. The next prime is 4022022413153. The reversal of 4022022413133 is 3313142202204.

4022022413133 is a `hidden beast` number, since 4 + 0 + 220 + 22 + 413 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1972277566884 + 2049744846249 = 1404378^2 + 1431693^2 .

It is not a de Polignac number, because 4022022413133 - 212 = 4022022409037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4022022413097 and 4022022413106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022022413153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 255943678 + ... + 255959391.

It is an arithmetic number, because the mean of its divisors is an integer number (303507330203).

Almost surely, 24022022413133 is an apocalyptic number.

It is an amenable number.

4022022413133 is a deficient number, since it is larger than the sum of its proper divisors (2048124190927).

4022022413133 is an equidigital number, since it uses as much as digits as its factorization.

4022022413133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511903178 (or 511903169 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4022022413133 its reverse (3313142202204), we get a palindrome (7335164615337).

The spelling of 4022022413133 in words is "four trillion, twenty-two billion, twenty-two million, four hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 97 291 873 2619 7857 511903069 1535709207 4607127621 13821382863 41464148589 49654597693 148963793079 446891379237 1340674137711 4022022413133