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1001201212201 = 172341251248821
BaseRepresentation
bin11101001000111000011…
…11100001101100101001
310112201021102201022211211
432210130033201230221
5112400430002242301
62043540120353121
7132222461613301
oct16443417415451
93481242638754
101001201212201
11356674a8a453
121420583157a1
137354a0c59a8
143665bbb0601
151b09be41051
hexe91c3e1b29

1001201212201 has 32 divisors (see below), whose sum is σ = 1137685844736. Its totient is φ = 875846400000.

The previous prime is 1001201212153. The next prime is 1001201212211. The reversal of 1001201212201 is 1022121021001.

1001201212201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001201212201 - 217 = 1001201081129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001201212211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3899371 + ... + 4148191.

It is an arithmetic number, because the mean of its divisors is an integer number (35552682648).

Almost surely, 21001201212201 is an apocalyptic number.

It is an amenable number.

1001201212201 is a deficient number, since it is larger than the sum of its proper divisors (136484632535).

1001201212201 is a wasteful number, since it uses less digits than its factorization.

1001201212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249153.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1001201212201 its reverse (1022121021001), we get a palindrome (2023322233202).

The spelling of 1001201212201 in words is "one trillion, one billion, two hundred one million, two hundred twelve thousand, two hundred one".

Divisors: 1 17 23 41 251 391 697 943 4267 5773 10291 16031 98141 174947 236693 248821 4023781 4229957 5722883 10201661 62454071 97289011 173428237 234638203 1061719207 1436443633 2560616911 3988849451 24419541761 43530487487 58894188953 1001201212201