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133110212240 = 24511326355987
BaseRepresentation
bin111101111110111111…
…1001010011010010000
3110201120200100101201202
41323331333022122100
54140102203242430
6141052221450332
712421411064345
oct1737577123220
9421520311652
10133110212240
11514a7276675
122196a4109a8
13c724366bc5
14662a5a07cc
1536e0e27d45
hex1efdfca690

133110212240 has 80 divisors (see below), whose sum is σ = 313412761728. Its totient is φ = 52571301888.

The previous prime is 133110212237. The next prime is 133110212273. The reversal of 133110212240 is 42212011331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2349527 + ... + 2405513.

Almost surely, 2133110212240 is an apocalyptic number.

133110212240 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 133110212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156706380864).

133110212240 is an abundant number, since it is smaller than the sum of its proper divisors (180302549488).

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

133110212240 is a wasteful number, since it uses less digits than its factorization.

133110212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56376 (or 56370 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 133110212240 its reverse (42212011331), we get a palindrome (175322223571).

The spelling of 133110212240 in words is "one hundred thirty-three billion, one hundred ten million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 263 452 526 565 904 1052 1130 1315 1808 2104 2260 2630 4208 4520 5260 9040 10520 21040 29719 55987 59438 111974 118876 148595 223948 237752 279935 297190 447896 475504 559870 594380 895792 1119740 1188760 2239480 2377520 4478960 6326531 12653062 14724581 25306124 29449162 31632655 50612248 58898324 63265310 73622905 101224496 117796648 126530620 147245810 235593296 253061240 294491620 506122480 588983240 1177966480 1663877653 3327755306 6655510612 8319388265 13311021224 16638776530 26622042448 33277553060 66555106120 133110212240