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132200120200 = 23524319778031
BaseRepresentation
bin111101100011110111…
…1011011111110001000
3110122020020211221011011
41323013233123332020
54131221212321300
6140422031213304
712360020323651
oct1730757337610
9418206757134
10132200120200
115107a580a95
1221755677234
13c60a948ac5
146581778528
15368b0a5eba
hex1ec7bdbf88

132200120200 has 96 divisors (see below), whose sum is σ = 316113874560. Its totient is φ = 51387436800.

The previous prime is 132200120179. The next prime is 132200120207. The reversal of 132200120200 is 2021002231.

It is a super-3 number, since 3×1322001202003 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132200120207) 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, 1655185 + ... + 1733215.

It is an arithmetic number, because the mean of its divisors is an integer number (3292852860).

Almost surely, 2132200120200 is an apocalyptic number.

132200120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132200120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158056937280).

132200120200 is an abundant number, since it is smaller than the sum of its proper divisors (183913754360).

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

132200120200 is a wasteful number, since it uses less digits than its factorization.

132200120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78287 (or 78278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 132200120200 its reverse (2021002231), we get a palindrome (134221122431).

The spelling of 132200120200 in words is "one hundred thirty-two billion, two hundred million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 197 200 215 344 394 430 788 860 985 1075 1576 1720 1970 2150 3940 4300 4925 7880 8471 8600 9850 16942 19700 33884 39400 42355 67768 78031 84710 156062 169420 211775 312124 338840 390155 423550 624248 780310 847100 1560620 1694200 1950775 3121240 3355333 3901550 6710666 7803100 13421332 15372107 15606200 16776665 26842664 30744214 33553330 61488428 67106660 76860535 83883325 122976856 134213320 153721070 167766650 307442140 335533300 384302675 614884280 661000601 671066600 768605350 1322001202 1537210700 2644002404 3074421400 3305003005 5288004808 6610006010 13220012020 16525015025 26440024040 33050030050 66100060100 132200120200