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20001020100100 = 22521315385400077
BaseRepresentation
bin1001000110000110110011…
…01100101011111000000100
32121211002010110221221220221
410203003121230223320010
510110144042121200400
6110312201454234124
74133011631516434
oct443033154537004
977732113857827
1020001020100100
11641142646a376
1222b03b91b5944
13b2111b73aa70
144d20a991c2c4
1524a4146d7c1a
hex1230d9b2be04

20001020100100 has 36 divisors (see below), whose sum is σ = 46740845436964. Its totient is φ = 7384992036480.

The previous prime is 20001020100013. The next prime is 20001020100109. The reversal of 20001020100100 is 100102010002.

It can be written as a sum of positive squares in 6 ways, for example, as 1449020356 + 19999571079744 = 38066^2 + 4472088^2 .

It is not an unprimeable number, because it can be changed into a prime (20001020100109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7692698739 + ... + 7692701338.

Almost surely, 220001020100100 is an apocalyptic number.

20001020100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001020100100 is an abundant number, since it is smaller than the sum of its proper divisors (26739825336864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20001020100100 is a wasteful number, since it uses less digits than its factorization.

20001020100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15385400104 (or 15385400097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20001020100100 its reverse (100102010002), we get a palindrome (20101122110102).

The spelling of 20001020100100 in words is "twenty trillion, one billion, twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 15385400077 30770800154 61541600308 76927000385 153854000770 200010201001 307708001540 384635001925 400020402002 769270003850 800040804004 1000051005005 1538540007700 2000102010010 4000204020020 5000255025025 10000510050050 20001020100100