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2133312201020 = 22571113353301867
BaseRepresentation
bin11111000010110011010…
…100001110000100111100
321112221110012021100012202
4133002303110032010330
5234423010410413040
64312010300051032
7310061315342120
oct37026324160474
97487405240182
102133312201020
11752807138630
122a5549b33a78
1312622a700860
1475377bcd580
153a75ba04015
hex1f0b350e13c

2133312201020 has 192 divisors, whose sum is σ = 6032105081856. Its totient is φ = 612039352320.

The previous prime is 2133312201011. The next prime is 2133312201043. The reversal of 2133312201020 is 201022133312.

It is a super-3 number, since 3×21333122010203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2133312200983 and 2133312201001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6916127 + ... + 7217993.

It is an arithmetic number, because the mean of its divisors is an integer number (31417213968).

Almost surely, 22133312201020 is an apocalyptic number.

2133312201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133312201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016052540928).

2133312201020 is an abundant number, since it is smaller than the sum of its proper divisors (3898792880836).

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

2133312201020 is a wasteful number, since it uses less digits than its factorization.

2133312201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302260 (or 302258 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2133312201020 its reverse (201022133312), we get a palindrome (2334334334332).

It can be divided in two parts, 2133312 and 201020, that added together give a palindrome (2334332).

The spelling of 2133312201020 in words is "two trillion, one hundred thirty-three billion, three hundred twelve million, two hundred one thousand, twenty".