Search a number
-
+
212011001212200 = 23352353351668687
BaseRepresentation
bin110000001101001010101000…
…011010100110110100101000
31000210200001110012102122102120
4300031022220122212310220
5210242042012302242300
62030524302005431240
762441201152152141
oct6015125032466450
91023601405378376
10212011001212200
116160a3a7083763
121b94119b40b520
13913b722c0ba88
143a4d55c70aac8
151979d5cbdd3a0
hexc0d2a86a6d28

212011001212200 has 48 divisors (see below), whose sum is σ = 657234103759680. Its totient is φ = 56536266989760.

The previous prime is 212011001212187. The next prime is 212011001212249. The reversal of 212011001212200 is 2212100110212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011001212200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176675833744 + ... + 176675834943.

It is an arithmetic number, because the mean of its divisors is an integer number (13692377161660).

Almost surely, 2212011001212200 is an apocalyptic number.

212011001212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011001212200 is an abundant number, since it is smaller than the sum of its proper divisors (445223102547480).

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

212011001212200 is a wasteful number, since it uses less digits than its factorization.

212011001212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353351668706 (or 353351668697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212011001212200 its reverse (2212100110212), we get a palindrome (214223101322412).

The spelling of 212011001212200 in words is "two hundred twelve trillion, eleven billion, one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 353351668687 706703337374 1060055006061 1413406674748 1766758343435 2120110012122 2826813349496 3533516686870 4240220024244 5300275030305 7067033373740 8480440048488 8833791717175 10600550060610 14134066747480 17667583434350 21201100121220 26501375151525 35335166868700 42402200242440 53002750303050 70670333737400 106005500606100 212011001212200