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2133133223232 = 2631121710635081
BaseRepresentation
bin11111000010101000101…
…001011110010101000000
321112220222201111022211210
4133002220221132111000
5234422124101120412
64311540424010120
7310054013142024
oct37025051362500
97486881438753
102133133223232
11752725103a00
122a54ba000940
131261cc5c703b
147535c120384
153a74ae4d83c
hex1f0a8a5e540

2133133223232 has 336 divisors, whose sum is σ = 6576035469696. Its totient is φ = 607688294400.

The previous prime is 2133133223209. The next prime is 2133133223237. The reversal of 2133133223232 is 2323223313312.

It is a super-2 number, since 2×21331332232322 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2133133223232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133133223237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419822932 + ... + 419828012.

It is an arithmetic number, because the mean of its divisors is an integer number (19571534136).

Almost surely, 22133133223232 is an apocalyptic number.

2133133223232 is a gapful number since it is divisible by the number (22) 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 2133133223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288017734848).

2133133223232 is an abundant number, since it is smaller than the sum of its proper divisors (4442902246464).

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

2133133223232 is a wasteful number, since it uses less digits than its factorization.

2133133223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6177 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 2133133223232 its reverse (2323223313312), we get a palindrome (4456356536544).

The spelling of 2133133223232 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred thirty-two".