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10001031000201 = 345314831570879
BaseRepresentation
bin1001000110001000101111…
…1001100111000010001001
31022102002102001020111020000
42101202023321213002021
52302324102414001301
633134224334553213
72051356604610633
oct221421371470211
938362361214200
1010001031000201
1132064603007aa
121156325068809
1357712992aa07
142680a4029a53
1512523a6e9786
hex9188be67089

10001031000201 has 40 divisors (see below), whose sum is σ = 15231968801280. Its totient is φ = 6537139678368.

The previous prime is 10001031000127. The next prime is 10001031000227. The reversal of 10001031000201 is 10200013010001.

It is not a de Polignac number, because 10001031000201 - 227 = 10000896782473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001031000241) 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 39 ways as a sum of consecutive naturals, for example, 5581080 + ... + 7151958.

It is an arithmetic number, because the mean of its divisors is an integer number (380799220032).

Almost surely, 210001031000201 is an apocalyptic number.

It is an amenable number.

10001031000201 is a deficient number, since it is larger than the sum of its proper divisors (5230937801079).

10001031000201 is a wasteful number, since it uses less digits than its factorization.

10001031000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572427 (or 1572418 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001031000201 its reverse (10200013010001), we get a palindrome (20201044010202).

The spelling of 10001031000201 in words is "ten trillion, one billion, thirty-one million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 27 53 81 159 477 1431 1483 4293 4449 13347 40041 78599 120123 235797 707391 1570879 2122173 4712637 6366519 14137911 42413733 83256587 127241199 249769761 749309283 2247927849 2329613557 6743783547 6988840671 20966522013 62899566039 123469518521 188698698117 370408555563 1111225666689 3333677000067 10001031000201