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133112120300 = 22529715787407
BaseRepresentation
bin111101111111000011…
…0011100001111101100
3110201120210221100002122
41323332012130033230
54140103200322200
6141052330412112
712421433232245
oct1737606341754
9421523840078
10133112120300
11514a835a185
122196ab91038
13c724884533
14662a939ccc
1536e11a3385
hex1efe19c3ec

133112120300 has 72 divisors (see below), whose sum is σ = 293693327424. Its totient is φ = 52359690240.

The previous prime is 133112120279. The next prime is 133112120303. The reversal of 133112120300 is 3021211331.

133112120300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133112120303) 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 23 ways as a sum of consecutive naturals, for example, 1479197 + ... + 1566603.

It is an arithmetic number, because the mean of its divisors is an integer number (4079073992).

Almost surely, 2133112120300 is an apocalyptic number.

133112120300 is a gapful number since it is divisible by the number (10) 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 133112120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146846663712).

133112120300 is an abundant number, since it is smaller than the sum of its proper divisors (160581207124).

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

133112120300 is a wasteful number, since it uses less digits than its factorization.

133112120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87675 (or 87668 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 133112120300 its reverse (3021211331), we get a palindrome (136133331631).

The spelling of 133112120300 in words is "one hundred thirty-three billion, one hundred twelve million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 157 194 314 388 485 628 785 970 1570 1940 2425 3140 3925 4850 7850 9700 15229 15700 30458 60916 76145 87407 152290 174814 304580 349628 380725 437035 761450 874070 1522900 1748140 2185175 4370350 8478479 8740700 13722899 16956958 27445798 33913916 42392395 54891596 68614495 84784790 137228990 169569580 211961975 274457980 343072475 423923950 686144950 847847900 1331121203 1372289900 2662242406 5324484812 6655606015 13311212030 26622424060 33278030075 66556060150 133112120300