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20010020100100 = 2252397504030733
BaseRepresentation
bin1001000110010111100100…
…01000111101100000000100
32121211221100201001022221021
410203023302020331200010
510110321010121200400
6110320250515400524
74133450644330462
oct443136210754004
977757321038837
1020010020100100
1164152247605a8
1222b20ab2b3144
13b21c241bb054
144d26c0d33832
1524a78e8b471a
hex1232f223d804

20010020100100 has 36 divisors (see below), whose sum is σ = 43531118372644. Its totient is φ = 7983846794880.

The previous prime is 20010020100061. The next prime is 20010020100107. The reversal of 20010020100100 is 100102001002.

It can be written as a sum of positive squares in 6 ways, for example, as 613377177856 + 19396642922244 = 783184^2 + 4404162^2 .

It is not an unprimeable number, because it can be changed into a prime (20010020100107) 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, 251975667 + ... + 252055066.

Almost surely, 220010020100100 is an apocalyptic number.

20010020100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010020100100 is an abundant number, since it is smaller than the sum of its proper divisors (23521098272544).

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

20010020100100 is a wasteful number, since it uses less digits than its factorization.

20010020100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504031144 (or 504031137 counting only the distinct ones).

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

Adding to 20010020100100 its reverse (100102001002), we get a palindrome (20110122101102).

The spelling of 20010020100100 in words is "twenty trillion, ten billion, twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3970 7940 9925 19850 39700 504030733 1008061466 2016122932 2520153665 5040307330 10080614660 12600768325 25201536650 50403073300 200100201001 400200402002 800400804004 1000501005005 2001002010010 4002004020020 5002505025025 10005010050050 20010020100100