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1001200011201 = 321352140074099
BaseRepresentation
bin11101001000111000010…
…10111100011111000001
310112201021100110022101100
432210130022330133001
5112400424200324301
62043540034525013
7132222445451655
oct16443412743701
93481240408340
101001200011201
1135667433a095
12142057a36769
1373549a95140
143665b97aa65
151b09bca5286
hexe91c2bc7c1

1001200011201 has 48 divisors (see below), whose sum is σ = 1561181731200. Its totient is φ = 614637054720.

The previous prime is 1001200011181. The next prime is 1001200011209. The reversal of 1001200011201 is 1021100021001.

It is a happy number.

1001200011201 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 1001200011201 - 26 = 1001200011137 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 (1001200011209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244252650 + ... + 244256748.

It is an arithmetic number, because the mean of its divisors is an integer number (32524619400).

Almost surely, 21001200011201 is an apocalyptic number.

It is an amenable number.

1001200011201 is a deficient number, since it is larger than the sum of its proper divisors (559981719999).

1001200011201 is a wasteful number, since it uses less digits than its factorization.

1001200011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8646 (or 8643 counting only the distinct ones).

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

Adding to 1001200011201 its reverse (1021100021001), we get a palindrome (2022300032202).

The spelling of 1001200011201 in words is "one trillion, one billion, two hundred million, eleven thousand, two hundred one".

Divisors: 1 3 9 13 39 117 521 1563 4007 4099 4689 6773 12021 12297 20319 36063 36891 52091 53287 60957 156273 159861 468819 479583 2087647 2135579 6262941 6406737 16424693 18788823 19220211 27139411 27762527 49274079 81418233 83287581 147822237 213521009 244254699 249862743 640563027 1921689081 8557265053 25671795159 77015385477 111244445689 333733337067 1001200011201