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4022101001124 = 2232731530479833
BaseRepresentation
bin111010100001110111111…
…001101100001110100100
3112020111202010121212220100
4322201313321230032210
51011344230324013444
612315421103104100
7563405261263533
oct72416771541644
915214663555810
104022101001124
111310844182958
1254b6155a2030
13232389851aab
14dc95669231a
156e9563d9e69
hex3a877e6c3a4

4022101001124 has 36 divisors (see below), whose sum is σ = 10306251202156. Its totient is φ = 1322334574848.

The previous prime is 4022101001123. The next prime is 4022101001141. The reversal of 4022101001124 is 4211001012204.

It can be written as a sum of positive squares in 2 ways, for example, as 828846368100 + 3193254633024 = 910410^2 + 1786968^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 4022101001097 and 4022101001106.

It is not an unprimeable number, because it can be changed into a prime (4022101001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765237289 + ... + 765242544.

Almost surely, 24022101001124 is an apocalyptic number.

It is an amenable number.

4022101001124 is an abundant number, since it is smaller than the sum of its proper divisors (6284150201032).

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

4022101001124 is a wasteful number, since it uses less digits than its factorization.

4022101001124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530479916 (or 1530479911 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4022101001124 its reverse (4211001012204), we get a palindrome (8233102013328).

The spelling of 4022101001124 in words is "four trillion, twenty-two billion, one hundred one million, one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 1530479833 3060959666 4591439499 6121919332 9182878998 13774318497 18365757996 27548636994 55097273988 111725027809 223450055618 335175083427 446900111236 670350166854 1005525250281 1340700333708 2011050500562 4022101001124