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133120131100 = 2252111011198201
BaseRepresentation
bin111101111111010010…
…1000000000000011100
3110201121101000022211221
41323332211000000130
54140112223143400
6141053214223124
712421561305325
oct1737645000034
9421541008757
10133120131100
1151501930880
12219717b4aa4
13c72642a858
14662ba2344c
1536e1c36c1a
hex1efe94001c

133120131100 has 72 divisors (see below), whose sum is σ = 318252036816. Its totient is φ = 47928000000.

The previous prime is 133120131073. The next prime is 133120131107. The reversal of 133120131100 is 1131021331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120131107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488001 + ... + 710200.

It is an arithmetic number, because the mean of its divisors is an integer number (4420167178).

Almost surely, 2133120131100 is an apocalyptic number.

133120131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120131100 is an abundant number, since it is smaller than the sum of its proper divisors (185131905716).

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

133120131100 is a wasteful number, since it uses less digits than its factorization.

133120131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198327 (or 1198320 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 133120131100 its reverse (1131021331), we get a palindrome (134251152431).

The spelling of 133120131100 in words is "one hundred thirty-three billion, one hundred twenty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 1198201 2396402 4792804 5991005 11982010 13180211 23964020 26360422 29955025 52720844 59910050 65901055 119820100 121018301 131802110 242036602 263604220 329505275 484073204 605091505 659010550 1210183010 1318021100 1331201311 2420366020 2662402622 3025457525 5324805244 6050915050 6656006555 12101830100 13312013110 26624026220 33280032775 66560065550 133120131100