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13333020031125 = 3253192879216661
BaseRepresentation
bin1100001000000101010111…
…1011000011100010010101
31202012121212002102221021100
43002001111323003202111
53221422011111444000
644205034351340313
72544164444224254
oct302012573034225
952177762387240
1013333020031125
114280558242113
1215b4041521699
137593b5757c82
1434147071079b
15181c50b6da00
hexc2055ec3895

13333020031125 has 96 divisors (see below), whose sum is σ = 25308894873600. Its totient is φ = 6734312784000.

The previous prime is 13333020031109. The next prime is 13333020031183. The reversal of 13333020031125 is 52113002033331.

13333020031125 is a `hidden beast` number, since 1 + 3 + 3 + 330 + 200 + 3 + 1 + 125 = 666.

It is not a de Polignac number, because 13333020031125 - 24 = 13333020031109 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61430295 + ... + 61646955.

It is an arithmetic number, because the mean of its divisors is an integer number (263634321600).

Almost surely, 213333020031125 is an apocalyptic number.

13333020031125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13333020031125 is a deficient number, since it is larger than the sum of its proper divisors (11975874842475).

13333020031125 is a wasteful number, since it uses less digits than its factorization.

13333020031125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219580 (or 219567 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 13333020031125 its reverse (52113002033331), we get a palindrome (65446022064456).

The spelling of 13333020031125 in words is "thirteen trillion, three hundred thirty-three billion, twenty million, thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 375 475 855 1125 1425 2375 2879 4275 7125 8637 14395 21375 25911 43185 54701 71975 129555 164103 215925 216661 273505 359875 492309 647775 649983 820515 1079625 1083305 1367525 1949949 2461545 3238875 3249915 4102575 4116559 5416525 6837625 9749745 12307725 12349677 16249575 20512875 20582795 27082625 37049031 48748725 61538625 61748385 81247875 102913975 185245155 243743625 308741925 514569875 623767019 926225775 1543709625 1871301057 3118835095 4631128875 5613903171 9356505285 11851573361 15594175475 28069515855 35554720083 46782526425 59257866805 77970877375 106664160249 140347579275 177773600415 233912632125 296289334025 533320801245 701737896375 888868002075 1481446670125 2666604006225 4444340010375 13333020031125