Search a number
-
+
212100212201200 = 24523714331095419
BaseRepresentation
bin110000001110011101101101…
…110011100001011011110000
31000210222120201110122102221021
4300032131231303201123300
5210300022213310414300
62031033254202505224
762450506661101111
oct6016355563413360
91023876643572837
10212100212201200
116164421638a144
121b956537b05214
139146c6c427c2b
143a539c2900208
15197c32eb63d1a
hexc0e76dce16f0

212100212201200 has 60 divisors (see below), whose sum is σ = 523342942547560. Its totient is φ = 82547109607680.

The previous prime is 212100212201173. The next prime is 212100212201279. The reversal of 212100212201200 is 2102212001212.

It is a happy number.

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

It is a congruent number.

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, 7165532910 + ... + 7165562509.

Almost surely, 2212100212201200 is an apocalyptic number.

212100212201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100212201200 is an abundant number, since it is smaller than the sum of its proper divisors (311242730346360).

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

212100212201200 is a wasteful number, since it uses less digits than its factorization.

212100212201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14331095474 (or 14331095463 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212100212201200 its reverse (2102212001212), we get a palindrome (214202424202412).

The spelling of 212100212201200 in words is "two hundred twelve trillion, one hundred billion, two hundred twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 14331095419 28662190838 57324381676 71655477095 114648763352 143310954190 229297526704 286621908380 358277385475 530250530503 573243816760 716554770950 1060501061006 1146487633520 1433109541900 2121002122012 2651252652515 2866219083800 4242004244024 5302505305030 5732438167600 8484008488048 10605010610060 13256263262575 21210021220120 26512526525150 42420042440240 53025053050300 106050106100600 212100212201200