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1001001223001 = 131732571731857
BaseRepresentation
bin11101001000100000101…
…00101000001101011001
310112200202111101211020102
432210100110220031121
5112400022303114001
62043504214105145
7132214513002353
oct16442024501531
93480674354212
101001001223001
1135658210461a
1214200134b1b5
13735178435a0
143663d3d20d3
151b0895d9e6b
hexe910528359

1001001223001 has 16 divisors (see below), whose sum is σ = 1088451970704. Its totient is φ = 915085000704.

The previous prime is 1001001222971. The next prime is 1001001223009. The reversal of 1001001223001 is 1003221001001.

It can be written as a sum of positive squares in 8 ways, for example, as 482053878601 + 518947344400 = 694301^2 + 720380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001001223001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001001223009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287936 + ... + 1443921.

It is an arithmetic number, because the mean of its divisors is an integer number (68028248169).

Almost surely, 21001001223001 is an apocalyptic number.

It is an amenable number.

1001001223001 is a deficient number, since it is larger than the sum of its proper divisors (87450747703).

1001001223001 is a wasteful number, since it uses less digits than its factorization.

1001001223001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732300.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1001001223001 its reverse (1003221001001), we get a palindrome (2004222224002).

The spelling of 1001001223001 in words is "one trillion, one billion, one million, two hundred twenty-three thousand, one".

Divisors: 1 13 173 257 2249 3341 44461 577993 1731857 22514141 299611261 445087249 3894946393 5786134237 77000094077 1001001223001