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10001201121 = 323137968827
BaseRepresentation
bin10010101000001111…
…00011011111100001
3221211000000122202100
421110013203133201
5130440301413441
64332224241013
7502560543522
oct112407433741
927730018670
1010001201121
11427246547a
121b31470169
13c3501b0b2
146ac396849
153d8048cb6
hex2541e37e1

10001201121 has 24 divisors (see below), whose sum is σ = 15315233024. Its totient is φ = 6277992480.

The previous prime is 10001201011. The next prime is 10001201123. The reversal of 10001201121 is 12110210001.

It is a happy number.

10001201121 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 10001201121 - 221 = 9999103969 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001201123) 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 23 ways as a sum of consecutive naturals, for example, 474091 + ... + 494736.

Almost surely, 210001201121 is an apocalyptic number.

It is an amenable number.

10001201121 is a deficient number, since it is larger than the sum of its proper divisors (5314031903).

10001201121 is a wasteful number, since it uses less digits than its factorization.

10001201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968901 (or 968898 counting only the distinct ones).

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

Adding to 10001201121 its reverse (12110210001), we get a palindrome (22111411122).

The spelling of 10001201121 in words is "ten billion, one million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 31 37 93 111 279 333 1147 3441 10323 968827 2906481 8719443 30033637 35846599 90100911 107539797 270302733 322619391 1111244569 3333733707 10001201121