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132323122200 = 23352375960501
BaseRepresentation
bin111101100111100010…
…0101001110000011000
3110122112211022002011210
41323033010221300120
54131444204402300
6140442143423120
712363042660243
oct1731704516030
9418484262153
10132323122200
1151132a53235
122178a8b4aa0
13c62a284259
146593c3625a
153696ca1050
hex1ecf129c18

132323122200 has 96 divisors (see below), whose sum is σ = 421288281360. Its totient is φ = 34332480000.

The previous prime is 132323122193. The next prime is 132323122201. The reversal of 132323122200 is 2221323231.

It is a happy number.

It is a super-2 number, since 2×1323231222002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132323122201) 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, 2958051 + ... + 3002450.

Almost surely, 2132323122200 is an apocalyptic number.

132323122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132323122200 is an abundant number, since it is smaller than the sum of its proper divisors (288965159160).

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

132323122200 is a wasteful number, since it uses less digits than its factorization.

132323122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960557 (or 5960548 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132323122200 its reverse (2221323231), we get a palindrome (134544445431).

It can be divided in two parts, 1323231 and 22200, that added together give a palindrome (1345431).

The spelling of 132323122200 in words is "one hundred thirty-two billion, three hundred twenty-three million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 5960501 11921002 17881503 23842004 29802505 35763006 47684008 59605010 71526012 89407515 119210020 143052024 149012525 178815030 220538537 238420040 298025050 357630060 441077074 447037575 596050100 661615611 715260120 882154148 894075150 1102692685 1192100200 1323231222 1764308296 1788150300 2205385370 2646462444 3308078055 3576300600 4410770740 5292924888 5513463425 6616156110 8821541480 11026926850 13232312220 16540390275 22053853700 26464624440 33080780550 44107707400 66161561100 132323122200