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132213231300 = 223521725924163
BaseRepresentation
bin111101100100010000…
…1011100111011000100
3110122021011112001012110
41323020201130323010
54131233041400200
6140423220221020
712360236631513
oct1731041347304
9418234461173
10132213231300
1151086a16607
1221759b3a770
13c610589757
1465833cc67a
15368c2e5b50
hex1ec885cec4

132213231300 has 72 divisors (see below), whose sum is σ = 405039138336. Its totient is φ = 33182927360.

The previous prime is 132213231247. The next prime is 132213231307. The reversal of 132213231300 is 3132312231.

It is a super-3 number, since 3×1322132313003 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132213231307) 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, 12956982 + ... + 12967181.

It is an arithmetic number, because the mean of its divisors is an integer number (5625543588).

Almost surely, 2132213231300 is an apocalyptic number.

132213231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213231300 is an abundant number, since it is smaller than the sum of its proper divisors (272825907036).

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

132213231300 is a wasteful number, since it uses less digits than its factorization.

132213231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25924197 (or 25924190 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132213231300 its reverse (3132312231), we get a palindrome (135345543531).

The spelling of 132213231300 in words is "one hundred thirty-two billion, two hundred thirteen million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 25924163 51848326 77772489 103696652 129620815 155544978 259241630 311089956 388862445 440710771 518483260 648104075 777724890 881421542 1296208150 1322132313 1555449780 1762843084 1944312225 2203553855 2592416300 2644264626 3888624450 4407107710 5288529252 6610661565 7777248900 8814215420 11017769275 13221323130 22035538550 26442646260 33053307825 44071077100 66106615650 132213231300