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133033104420 = 22355971952267
BaseRepresentation
bin111101111100101100…
…1000001010000100100
3110201101022020220200120
41323321121001100210
54134422433320140
6141040425041540
712416453505246
oct1737131012044
9421338226616
10133033104420
11514677a03a7
12219486262b0
13c7113aa088
14662024c096
1536d92961d0
hex1ef9641424

133033104420 has 96 divisors (see below), whose sum is σ = 379340236800. Its totient is φ = 34825044864.

The previous prime is 133033104409. The next prime is 133033104439. The reversal of 133033104420 is 24401330331.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2519127 + ... + 2571393.

It is an arithmetic number, because the mean of its divisors is an integer number (3951460800).

Almost surely, 2133033104420 is an apocalyptic number.

133033104420 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 133033104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189670118400).

133033104420 is an abundant number, since it is smaller than the sum of its proper divisors (246307132380).

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

133033104420 is a wasteful number, since it uses less digits than its factorization.

133033104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53057 (or 53055 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133033104420 its reverse (24401330331), we get a palindrome (157434434751).

The spelling of 133033104420 in words is "one hundred thirty-three billion, thirty-three million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 719 885 1180 1438 1770 2157 2876 3540 3595 4314 7190 8628 10785 14380 21570 42421 43140 52267 84842 104534 127263 156801 169684 209068 212105 254526 261335 313602 424210 509052 522670 627204 636315 784005 848420 1045340 1272630 1568010 2545260 3083753 3136020 6167506 9251259 12335012 15418765 18502518 30837530 37005036 37579973 46256295 61675060 75159946 92512590 112739919 150319892 185025180 187899865 225479838 375799730 450959676 563699595 751599460 1127399190 2217218407 2254798380 4434436814 6651655221 8868873628 11086092035 13303310442 22172184070 26606620884 33258276105 44344368140 66516552210 133033104420