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132312300210 = 23253299445631
BaseRepresentation
bin111101100111001101…
…1010111101010110010
3110122112001221021012100
41323032123113222302
54131433422101320
6140441115441230
712362551665246
oct1731633275262
9418461837170
10132312300210
1151127931542
1221787156216
13c627c654cc
14659261a426
153695d64790
hex1ece6d7ab2

132312300210 has 48 divisors (see below), whose sum is σ = 344117030400. Its totient is φ = 35272505760.

The previous prime is 132312300179. The next prime is 132312300233. The reversal of 132312300210 is 12003213231.

132312300210 is a `hidden beast` number, since 1 + 32 + 312 + 300 + 21 + 0 = 666.

It is a super-2 number, since 2×1323123002102 (a number of 23 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 74095 + ... + 519725.

It is an arithmetic number, because the mean of its divisors is an integer number (7169104800).

Almost surely, 2132312300210 is an apocalyptic number.

132312300210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132312300210 is an abundant number, since it is smaller than the sum of its proper divisors (211804730190).

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

132312300210 is a wasteful number, since it uses less digits than its factorization.

132312300210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448943 (or 448940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132312300210 its reverse (12003213231), we get a palindrome (144315513441).

It can be divided in two parts, 13231 and 2300210, that added together give a 4-th power (2313441 = 394).

The spelling of 132312300210 in words is "one hundred thirty-two billion, three hundred twelve million, three hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3299 6598 9897 16495 19794 29691 32990 49485 59382 98970 148455 296910 445631 891262 1336893 2228155 2673786 4010679 4456310 6684465 8021358 13368930 20053395 40106790 1470136669 2940273338 4410410007 7350683345 8820820014 13231230021 14701366690 22052050035 26462460042 44104100070 66156150105 132312300210