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132100331200 = 2652611353487
BaseRepresentation
bin111101100000111001…
…0110001011011000000
3110121222022002010101021
41323001302301123000
54131020141044300
6140404104315224
712354366200635
oct1730162613300
9417868063337
10132100331200
1151029214042
1221728172b14
13c5c307a366
14657240018c
153682443d1a
hex1ec1cb16c0

132100331200 has 84 divisors (see below), whose sum is σ = 330378299872. Its totient is φ = 51973862400.

The previous prime is 132100331197. The next prime is 132100331213. The reversal of 132100331200 is 2133001231.

132100331200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579144 + ... + 774343.

Almost surely, 2132100331200 is an apocalyptic number.

132100331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100331200 is an abundant number, since it is smaller than the sum of its proper divisors (198277968672).

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

132100331200 is a wasteful number, since it uses less digits than its factorization.

132100331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353570 (or 1353555 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132100331200 its reverse (2133001231), we get a palindrome (134233332431).

The spelling of 132100331200 in words is "one hundred thirty-two billion, one hundred million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 160 200 244 305 320 400 488 610 800 976 1220 1525 1600 1952 2440 3050 3904 4880 6100 9760 12200 19520 24400 48800 97600 1353487 2706974 5413948 6767435 10827896 13534870 21655792 27069740 33837175 43311584 54139480 67674350 82562707 86623168 108278960 135348700 165125414 216557920 270697400 330250828 412813535 433115840 541394800 660501656 825627070 1082789600 1321003312 1651254140 2064067675 2165579200 2642006624 3302508280 4128135350 5284013248 6605016560 8256270700 13210033120 16512541400 26420066240 33025082800 66050165600 132100331200