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20010022210100 = 22521315392324777
BaseRepresentation
bin1001000110010111100100…
…10001000000101000110100
32121211221100212000112022102
410203023302101000220310
510110321011141210400
6110320251032521232
74133451001266206
oct443136221005064
977757325015272
1020010022210100
1164152259718aa
1222b20abb50218
13b21c24779580
144d26c1322776
1524a78eb7e9d5
hex1232f2440a34

20010022210100 has 36 divisors (see below), whose sum is σ = 46761882675564. Its totient is φ = 7388315892480.

The previous prime is 20010022210049. The next prime is 20010022210109. The reversal of 20010022210100 is 101222001002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8538808671376 + 11471213538724 = 2922124^2 + 3386918^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010022210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7696161089 + ... + 7696163688.

Almost surely, 220010022210100 is an apocalyptic number.

20010022210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010022210100 is an abundant number, since it is smaller than the sum of its proper divisors (26751860465464).

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

20010022210100 is a wasteful number, since it uses less digits than its factorization.

20010022210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392324804 (or 15392324797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20010022210100 its reverse (101222001002), we get a palindrome (20111244211102).

The spelling of 20010022210100 in words is "twenty trillion, ten billion, twenty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 15392324777 30784649554 61569299108 76961623885 153923247770 200100222101 307846495540 384808119425 400200444202 769616238850 800400888404 1000501110505 1539232477700 2001002221010 4002004442020 5002505552525 10005011105050 20010022210100