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20213101333000 = 2353181111674593
BaseRepresentation
bin1001001100010001110101…
…01110011000101000001000
32122120100112210012212100201
410212020322232120220020
510122132412420124000
6110553434235141544
74154230331330002
oct446107256305010
978510483185321
1020213101333000
116493367825674
1223255268a48b4
13b38119994054
144dc468325372
15250bc85c696a
hex12623ab98a08

20213101333000 has 64 divisors (see below), whose sum is σ = 47559976092720. Its totient is φ = 8040570624000.

The previous prime is 20213101332953. The next prime is 20213101333003. The reversal of 20213101333000 is 33310131202.

It can be written as a sum of positive squares in 8 ways, for example, as 26789178276 + 20186312154724 = 163674^2 + 4492918^2 .

It is a super-3 number, since 3×202131013330003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20213101333003) 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, 55656297 + ... + 56018296.

Almost surely, 220213101333000 is an apocalyptic number.

20213101333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213101333000 is an abundant number, since it is smaller than the sum of its proper divisors (27346874759720).

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

20213101333000 is a wasteful number, since it uses less digits than its factorization.

20213101333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111674795 (or 111674781 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 20213101333000 its reverse (33310131202), we get a palindrome (20246411464202).

The spelling of 20213101333000 in words is "twenty trillion, two hundred thirteen billion, one hundred one million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 3620 4525 7240 9050 18100 22625 36200 45250 90500 181000 111674593 223349186 446698372 558372965 893396744 1116745930 2233491860 2791864825 4466983720 5583729650 11167459300 13959324125 20213101333 22334918600 27918648250 40426202666 55837296500 80852405332 101065506665 111674593000 161704810664 202131013330 404262026660 505327533325 808524053320 1010655066650 2021310133300 2526637666625 4042620266600 5053275333250 10106550666500 20213101333000