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20001030101 = 13101109139753
BaseRepresentation
bin10010101000001001…
…110111111111010101
31220121220110121021122
4102220021313333111
5311430230430401
613104403253325
71305433644053
oct225011677725
956556417248
1020001030101
118534072a48
123a6237a245
131b69978770
14d7a4b31d3
157c0dc121b
hex4a8277fd5

20001030101 has 16 divisors (see below), whose sum is σ = 21952558320. Its totient is φ = 18111859200.

The previous prime is 20001030073. The next prime is 20001030109. The reversal of 20001030101 is 10103010002.

It can be written as a sum of positive squares in 8 ways, for example, as 4472131876 + 15528898225 = 66874^2 + 124615^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001030101 - 26 = 20001030037 is a prime.

It is a super-2 number, since 2×200010301012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001030109) 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, 73241 + ... + 212993.

It is an arithmetic number, because the mean of its divisors is an integer number (1372034895).

Almost surely, 220001030101 is an apocalyptic number.

It is an amenable number.

20001030101 is a deficient number, since it is larger than the sum of its proper divisors (1951528219).

20001030101 is a wasteful number, since it uses less digits than its factorization.

20001030101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139976.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 20001030101 its reverse (10103010002), we get a palindrome (30104040103).

The spelling of 20001030101 in words is "twenty billion, one million, thirty thousand, one hundred one".

Divisors: 1 13 101 109 1313 1417 11009 139753 143117 1816789 14115053 15233077 183495689 198030001 1538540777 20001030101