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20101000220020 = 2251005050011001
BaseRepresentation
bin1001001001000001000001…
…11110100100110101110100
32122011122012021012021211101
410210200200332210311310
510113313322024020040
6110430134431215444
74143151344515506
oct444404076446564
978148167167741
1020101000220020
11644a871657255
122307860377584
13b2a6930a9835
144d6c72085d76
1524cd16ce709a
hex124820fa4d74

20101000220020 has 12 divisors (see below), whose sum is σ = 42212100462084. Its totient is φ = 8040400088000.

The previous prime is 20101000220017. The next prime is 20101000220039. The reversal of 20101000220020 is 2002200010102.

It can be written as a sum of positive squares in 2 ways, for example, as 4286730075364 + 15814270144656 = 2070442^2 + 3976716^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20101000219979 and 20101000220006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 502525005481 + ... + 502525005520.

It is an arithmetic number, because the mean of its divisors is an integer number (3517675038507).

Almost surely, 220101000220020 is an apocalyptic number.

20101000220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101000220020 is an abundant number, since it is smaller than the sum of its proper divisors (22111100242064).

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

20101000220020 is a wasteful number, since it uses less digits than its factorization.

20101000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005050011010 (or 1005050011008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20101000220020 its reverse (2002200010102), we get a palindrome (22103200230122).

The spelling of 20101000220020 in words is "twenty trillion, one hundred one billion, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1005050011001 2010100022002 4020200044004 5025250055005 10050500110010 20101000220020