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20101001110021 = 136138336613109
BaseRepresentation
bin1001001001000001000010…
…00001111110001000000101
32122011122012022212111200101
410210200201001332020011
510113313322241010041
6110430134502244101
74143151355213326
oct444404101761005
978148168774611
1020101001110021
11644a872104997
122307860726631
13b2a69332b970
144d6c7223844d
1524cd16e20b31
hex12482107e205

20101001110021 has 16 divisors (see below), whose sum is σ = 22007848126320. Its totient is φ = 18245829496320.

The previous prime is 20101001109929. The next prime is 20101001110033. The reversal of 20101001110021 is 12001110010102.

It can be written as a sum of positive squares in 8 ways, for example, as 4395941222500 + 15705059887521 = 2096650^2 + 3962961^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101001110021 - 221 = 20100999012869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101001110121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266986 + ... + 6346123.

It is an arithmetic number, because the mean of its divisors is an integer number (1375490507895).

Almost surely, 220101001110021 is an apocalyptic number.

It is an amenable number.

20101001110021 is a deficient number, since it is larger than the sum of its proper divisors (1906847016299).

20101001110021 is a wasteful number, since it uses less digits than its factorization.

20101001110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617016.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20101001110021 its reverse (12001110010102), we get a palindrome (32102111120123).

The spelling of 20101001110021 in words is "twenty trillion, one hundred one billion, one million, one hundred ten thousand, twenty-one".

Divisors: 1 13 61 793 3833 49829 233813 3039569 6613109 85970417 403399649 5244195437 25348046797 329524608361 1546230854617 20101001110021