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1004022120401 = 3389363781457
BaseRepresentation
bin11101001110001000110…
…00011011111111010001
310112222120000202022102022
432213010120123333101
5112422214130323101
62045124050301225
7132352414132406
oct16470430337721
93488500668368
101004022120401
11357892348543
12142704b87815
13738a9663841
14368486b82ad
151b1b490aa1b
hexe9c461bfd1

1004022120401 has 8 divisors (see below), whose sum is σ = 1004606851560. Its totient is φ = 1003437566208.

The previous prime is 1004022120389. The next prime is 1004022120467. The reversal of 1004022120401 is 1040212204001.

It can be written as a sum of positive squares in 4 ways, for example, as 40923267025 + 963098853376 = 202295^2 + 981376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1004022120401 - 222 = 1004017926097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004022120401.

It is not an unprimeable number, because it can be changed into a prime (1004022129401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12285065 + ... + 12366521.

It is an arithmetic number, because the mean of its divisors is an integer number (125575856445).

Almost surely, 21004022120401 is an apocalyptic number.

It is an amenable number.

1004022120401 is a deficient number, since it is larger than the sum of its proper divisors (584731159).

1004022120401 is an equidigital number, since it uses as much as digits as its factorization.

1004022120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88483.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1004022120401 its reverse (1040212204001), we get a palindrome (2044234324402).

The spelling of 1004022120401 in words is "one trillion, four billion, twenty-two million, one hundred twenty thousand, four hundred one".

Divisors: 1 3389 3637 81457 12325793 276057773 296259109 1004022120401