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133122201200 = 24523019110237
BaseRepresentation
bin111101111111010110…
…0111001011001110000
3110201121111220111111022
41323332230321121300
54140113240414300
6141053330435012
712421615016522
oct1737654713160
9421544814438
10133122201200
11515030150aa
1221972432a68
13c7269a3b71
14662c001a12
1536e1ee5285
hex1efeb39670

133122201200 has 60 divisors (see below), whose sum is σ = 319934928360. Its totient is φ = 53230759680.

The previous prime is 133122201197. The next prime is 133122201203. The reversal of 133122201200 is 2102221331.

It is an interprime number because it is at equal distance from previous prime (133122201197) and next prime (133122201203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122201203) 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, 1152482 + ... + 1262718.

It is an arithmetic number, because the mean of its divisors is an integer number (5332248806).

Almost surely, 2133122201200 is an apocalyptic number.

133122201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122201200 is an abundant number, since it is smaller than the sum of its proper divisors (186812727160).

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

133122201200 is a wasteful number, since it uses less digits than its factorization.

133122201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113274 (or 113263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 133122201200 its reverse (2102221331), we get a palindrome (135224422531).

The spelling of 133122201200 in words is "one hundred thirty-three billion, one hundred twenty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3019 6038 12076 15095 24152 30190 48304 60380 75475 110237 120760 150950 220474 241520 301900 440948 551185 603800 881896 1102370 1207600 1763792 2204740 2755925 4409480 5511850 8818960 11023700 22047400 44094800 332805503 665611006 1331222012 1664027515 2662444024 3328055030 5324888048 6656110060 8320137575 13312220120 16640275150 26624440240 33280550300 66561100600 133122201200