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20101001121 = 333126838951
BaseRepresentation
bin10010101110000111…
…001110111110100001
31220212212120122202000
4102232013032332201
5312131324013441
613122334114213
71311056455545
oct225607167641
956785518660
1020101001121
118585544723
123a8b94b969
131b845ac006
14d89897a25
157c9a6c2b6
hex4ae1cefa1

20101001121 has 32 divisors (see below), whose sum is σ = 30754775040. Its totient is φ = 12962106000.

The previous prime is 20101001119. The next prime is 20101001131. The reversal of 20101001121 is 12110010102.

It is a happy number.

It is not a de Polignac number, because 20101001121 - 21 = 20101001119 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 (20101001131) 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 31 ways as a sum of consecutive naturals, for example, 2241196 + ... + 2250146.

It is an arithmetic number, because the mean of its divisors is an integer number (961086720).

Almost surely, 220101001121 is an apocalyptic number.

It is an amenable number.

20101001121 is a deficient number, since it is larger than the sum of its proper divisors (10653773919).

20101001121 is a wasteful number, since it uses less digits than its factorization.

20101001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674 (or 11668 counting only the distinct ones).

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

Adding to 20101001121 its reverse (12110010102), we get a palindrome (32211011223).

The spelling of 20101001121 in words is "twenty billion, one hundred one million, one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 31 93 279 837 2683 8049 8951 24147 26853 72441 80559 83173 241677 249519 277481 748557 832443 2245671 2497329 7491987 24015533 72046599 216139797 648419391 744481523 2233444569 6700333707 20101001121