Search a number
-
+
132312200200110 = 23257877239474761
BaseRepresentation
bin11110000101011001010101…
…101100010011111110101110
3122100110220220201121112202100
4132011121111230103332232
5114320300341222400420
61145223215144435530
736604145444135550
oct3605312554237656
9570426821545670
10132312200200110
113918231a706217
1212a0aba8178ba6
1358a9caa407078
142495d322034d0
151046b25d4e190
hex785655b13fae

132312200200110 has 96 divisors (see below), whose sum is σ = 393604550419392. Its totient is φ = 30208304125440.

The previous prime is 132312200200087. The next prime is 132312200200111. The reversal of 132312200200110 is 11002002213231.

132312200200110 is a `hidden beast` number, since 1 + 3 + 231 + 220 + 0 + 200 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312200200111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119184871 + ... + 120289890.

It is an arithmetic number, because the mean of its divisors is an integer number (4100047400202).

Almost surely, 2132312200200110 is an apocalyptic number.

132312200200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132312200200110 is an abundant number, since it is smaller than the sum of its proper divisors (261292350219282).

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

132312200200110 is a wasteful number, since it uses less digits than its factorization.

132312200200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239475658 (or 239475655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132312200200110 its reverse (11002002213231), we get a palindrome (143314202413341).

The spelling of 132312200200110 in words is "one hundred thirty-two trillion, three hundred twelve billion, two hundred million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 877 1754 2631 4385 5262 6139 7893 8770 12278 13155 15786 18417 26310 30695 36834 39465 55251 61390 78930 92085 110502 184170 276255 552510 239474761 478949522 718424283 1197373805 1436848566 1676323327 2155272849 2394747610 3352646654 3592121415 4310545698 5028969981 7184242830 8381616635 10057939962 10776364245 15086909943 16763233270 21552728490 25144849905 30173819886 50289699810 75434549715 150869099430 210019365397 420038730794 630058096191 1050096826985 1260116192382 1470135557779 1890174288573 2100193653970 2940271115558 3150290480955 3780348577146 4410406673337 6300580961910 7350677788895 8820813346674 9450871442865 13231220020011 14701355577790 18901742885730 22052033366685 26462440040022 44104066733370 66156100100055 132312200200110