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1001224302001 = 711101551923327
BaseRepresentation
bin11101001000111011001…
…11100110110110110001
310112201100001011102002121
432210131213212312301
5112401001410131001
62043542303314241
7132223162101430
oct16443547466661
93481301142077
101001224302001
11356687020130
12142063bab981
1373551b1b5b1
1436660ca1117
151b09dea26a1
hexe91d9e6db1

1001224302001 has 32 divisors (see below), whose sum is σ = 1260921323520. Its totient is φ = 772277208000.

The previous prime is 1001224301977. The next prime is 1001224302041. The reversal of 1001224302001 is 1002034221001.

It is a cyclic number.

It is not a de Polignac number, because 1001224302001 - 213 = 1001224293809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001224302041) 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 31 ways as a sum of consecutive naturals, for example, 42909600 + ... + 42932926.

It is an arithmetic number, because the mean of its divisors is an integer number (39403791360).

Almost surely, 21001224302001 is an apocalyptic number.

1001224302001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001224302001 is a deficient number, since it is larger than the sum of its proper divisors (259697021519).

1001224302001 is a wasteful number, since it uses less digits than its factorization.

1001224302001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28965.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1001224302001 its reverse (1002034221001), we get a palindrome (2003258523002).

The spelling of 1001224302001 in words is "one trillion, one billion, two hundred twenty-four million, three hundred two thousand, one".

Divisors: 1 7 11 77 101 707 1111 5519 7777 23327 38633 60709 163289 256597 424963 557419 1796179 2356027 3901933 6131609 16492189 25916297 42921263 128741713 181414079 901191991 1416158843 9913111901 13002913013 91020391091 143032043143 1001224302001