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1002444124201 = 13233330948869
BaseRepresentation
bin11101001011001100101…
…00110111000000101001
310112211111001110210120121
432211212110313000221
5112411001143433301
62044303320323241
7132265333315402
oct16454624670051
93484431423517
101002444124201
11357152635653
12142344613521
13736b7763290
1436738cb09a9
151b1211063a1
hexe966537029

1002444124201 has 8 divisors (see below), whose sum is σ = 1084188498120. Its totient is φ = 921361648512.

The previous prime is 1002444124183. The next prime is 1002444124219. The reversal of 1002444124201 is 1024214442001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002444124183) and next prime (1002444124219).

It can be written as a sum of positive squares in 4 ways, for example, as 33361387801 + 969082736400 = 182651^2 + 984420^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002444124201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002444124291) 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 7 ways as a sum of consecutive naturals, for example, 165471406 + ... + 165477463.

It is an arithmetic number, because the mean of its divisors is an integer number (135523562265).

Almost surely, 21002444124201 is an apocalyptic number.

It is an amenable number.

1002444124201 is a deficient number, since it is larger than the sum of its proper divisors (81744373919).

1002444124201 is a wasteful number, since it uses less digits than its factorization.

1002444124201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330949115.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1002444124201 its reverse (1024214442001), we get a palindrome (2026658566202).

The spelling of 1002444124201 in words is "one trillion, two billion, four hundred forty-four million, one hundred twenty-four thousand, two hundred one".

Divisors: 1 13 233 3029 330948869 4302335297 77111086477 1002444124201