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201101201001 = 32199128387517
BaseRepresentation
bin1011101101001010010…
…0001100111001101001
3201020002002101111021200
42323102210030321221
511243323401413001
6232215024354413
720346322001361
oct2732244147151
9636062344250
10201101201001
1178317426878
1232b84475a09
1315c6b5006bc
149a3a4539a1
15536ee96086
hex2ed290ce69

201101201001 has 24 divisors (see below), whose sum is σ = 292170091200. Its totient is φ = 133288268256.

The previous prime is 201101200967. The next prime is 201101201051. The reversal of 201101201001 is 100102101102.

It is a happy number.

201101201001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201101201001 - 27 = 201101200873 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 (201101201051) 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 23 ways as a sum of consecutive naturals, for example, 2254095 + ... + 2341611.

It is an arithmetic number, because the mean of its divisors is an integer number (12173753800).

Almost surely, 2201101201001 is an apocalyptic number.

It is an amenable number.

201101201001 is a deficient number, since it is larger than the sum of its proper divisors (91068890199).

201101201001 is a wasteful number, since it uses less digits than its factorization.

201101201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89005 (or 89002 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201101201001 its reverse (100102101102), we get a palindrome (301203302103).

The spelling of 201101201001 in words is "two hundred one billion, one hundred one million, two hundred one thousand, one".

Divisors: 1 3 9 199 597 1283 1791 3849 11547 87517 255317 262551 765951 787653 2297853 17415883 52247649 112284311 156742947 336852933 1010558799 22344577889 67033733667 201101201001