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132201213100 = 225211831447987
BaseRepresentation
bin111101100011111001…
…1100110110010101100
3110122020022220110022221
41323013303212302230
54131222002304400
6140422110445124
712360032525155
oct1730763466254
9418208813287
10132201213100
1151080158110
1221755b037a4
13c60ac3c3a8
14658198092c
15368b21ec1a
hex1ec7ce6cac

132201213100 has 72 divisors (see below), whose sum is σ = 316727103168. Its totient is φ = 47493940800.

The previous prime is 132201213073. The next prime is 132201213101. The reversal of 132201213100 is 1312102231.

It is a super-2 number, since 2×1322012131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132201213101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632694 + ... + 815293.

It is an arithmetic number, because the mean of its divisors is an integer number (4398987544).

Almost surely, 2132201213100 is an apocalyptic number.

132201213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132201213100 is an abundant number, since it is smaller than the sum of its proper divisors (184525890068).

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

132201213100 is a wasteful number, since it uses less digits than its factorization.

132201213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448095 (or 1448088 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132201213100 its reverse (1312102231), we get a palindrome (133513315331).

The spelling of 132201213100 in words is "one hundred thirty-two billion, two hundred one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 830 913 1100 1660 1826 2075 3652 4150 4565 8300 9130 18260 22825 45650 91300 1447987 2895974 5791948 7239935 14479870 15927857 28959740 31855714 36199675 63711428 72399350 79639285 120182921 144798700 159278570 240365842 318557140 398196425 480731684 600914605 796392850 1201829210 1322012131 1592785700 2403658420 2644024262 3004573025 5288048524 6009146050 6610060655 12018292100 13220121310 26440242620 33050303275 66100606550 132201213100