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2133222313300 = 2252131640940241
BaseRepresentation
bin11111000010101101111…
…101010100110101010100
321112221012221010120102221
4133002231331110311110
5234422314403011200
64311553325312124
7310056144324601
oct37025575246524
97487187116387
102133222313300
11752770423661
122a5523a05644
13126214bbaa60
1475369cb16a8
153a753b9a91a
hex1f0adf54d54

2133222313300 has 36 divisors (see below), whose sum is σ = 4985176455196. Its totient is φ = 787651315200.

The previous prime is 2133222313249. The next prime is 2133222313307. The reversal of 2133222313300 is 33132223312.

It can be written as a sum of positive squares in 6 ways, for example, as 141415106704 + 1991807206596 = 376052^2 + 1411314^2 .

It is a super-2 number, since 2×21332223133002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133222313307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820468821 + ... + 820471420.

Almost surely, 22133222313300 is an apocalyptic number.

2133222313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133222313300 is an abundant number, since it is smaller than the sum of its proper divisors (2851954141896).

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

2133222313300 is a wasteful number, since it uses less digits than its factorization.

2133222313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640940268 (or 1640940261 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2133222313300 its reverse (33132223312), we get a palindrome (2166354536612).

The spelling of 2133222313300 in words is "two trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1640940241 3281880482 6563760964 8204701205 16409402410 21332223133 32818804820 41023506025 42664446266 82047012050 85328892532 106661115665 164094024100 213322231330 426644462660 533305578325 1066611156650 2133222313300