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1001010000201 = 310111331792227
BaseRepresentation
bin11101001000100001101…
…10000111000101001001
310112200210002220202021220
432210100312013011021
5112400032030001301
62043505130152253
7132214650420021
oct16442066070511
93480702822256
101001010000201
1135658705a002
12142004282689
13735195c76b3
1436640638a81
151b08a270936
hexe910d87149

1001010000201 has 32 divisors (see below), whose sum is σ = 1364127378048. Its totient is φ = 652812518400.

The previous prime is 1001010000191. The next prime is 1001010000203. The reversal of 1001010000201 is 1020000101001.

It is not a de Polignac number, because 1001010000201 - 210 = 1001009999177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001010000201.

It is not an unprimeable number, because it can be changed into a prime (1001010000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10807650 + ... + 10899876.

It is an arithmetic number, because the mean of its divisors is an integer number (42628980564).

Almost surely, 21001010000201 is an apocalyptic number.

It is an amenable number.

1001010000201 is a deficient number, since it is larger than the sum of its proper divisors (363117377847).

1001010000201 is a wasteful number, since it uses less digits than its factorization.

1001010000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92761.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001010000201 its reverse (1020000101001), we get a palindrome (2021010101202).

The spelling of 1001010000201 in words is "one trillion, one billion, ten million, two hundred one", and thus it is an aban number.

Divisors: 1 3 101 113 303 317 339 951 11413 32017 34239 35821 92227 96051 107463 276681 3617921 9314927 10421651 10853763 27944781 29235959 31264953 87707877 1052586751 2952831859 3157760253 3303663367 8858495577 9910990101 333670000067 1001010000201