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132013300200 = 23352836326309
BaseRepresentation
bin111101011110010011…
…0110001100111101000
3110121202020022111021220
41322330212301213220
54130330401101300
6140351315102040
712352261352145
oct1727446614750
9417666274256
10132013300200
1150a940803a1
1221702ba1920
13c5ab027922
146564a273cc
1536799a1da0
hex1ebc9b19e8

132013300200 has 96 divisors (see below), whose sum is σ = 409305722400. Its totient is φ = 35197999360.

The previous prime is 132013300183. The next prime is 132013300213. The reversal of 132013300200 is 2003310231.

It is a super-2 number, since 2×1320133002002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132013300200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5004646 + ... + 5030954.

It is an arithmetic number, because the mean of its divisors is an integer number (4263601275).

Almost surely, 2132013300200 is an apocalyptic number.

132013300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013300200 is an abundant number, since it is smaller than the sum of its proper divisors (277292422200).

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

132013300200 is a wasteful number, since it uses less digits than its factorization.

132013300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34691 (or 34682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 132013300200 its reverse (2003310231), we get a palindrome (134016610431).

The spelling of 132013300200 in words is "one hundred thirty-two billion, thirteen million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 8363 16726 25089 26309 33452 41815 50178 52618 66904 78927 83630 100356 105236 125445 131545 157854 167260 200712 209075 210472 250890 263090 315708 334520 394635 418150 501780 526180 627225 631416 657725 789270 836300 1003560 1052360 1254450 1315450 1578540 1672600 1973175 2508900 2630900 3157080 3946350 5017800 5261800 7892700 15785400 220022167 440044334 660066501 880088668 1100110835 1320133002 1760177336 2200221670 2640266004 3300332505 4400443340 5280532008 5500554175 6600665010 8800886680 11001108350 13201330020 16501662525 22002216700 26402660040 33003325050 44004433400 66006650100 132013300200