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212211022202200 = 23527221654185939
BaseRepresentation
bin110000010000000100111010…
…100110001000010101011000
31000211101011202000012201210101
4300100010322212020111120
5210303331133140432300
62031200221525425144
762461511646420400
oct6020047246102530
91024334660181711
10212211022202200
1161687209780a6a
121b973b01b6b1b4
13915454b699b68
143a590d54d3800
151980167e0bb6a
hexc1013a988558

212211022202200 has 72 divisors (see below), whose sum is σ = 573944198339700. Its totient is φ = 72758064751680.

The previous prime is 212211022202107. The next prime is 212211022202209. The reversal of 212211022202200 is 2202220112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211022202209) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 10827083170 + ... + 10827102769.

Almost surely, 2212211022202200 is an apocalyptic number.

212211022202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211022202200 is an abundant number, since it is smaller than the sum of its proper divisors (361733176137500).

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

212211022202200 is a wasteful number, since it uses less digits than its factorization.

212211022202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21654185969 (or 21654185953 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 212211022202200 its reverse (2202220112212), we get a palindrome (214413242314412).

The spelling of 212211022202200 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 21654185939 43308371878 86616743756 108270929695 151579301573 173233487512 216541859390 303158603146 433083718780 541354648475 606317206292 757896507865 866167437560 1061055111011 1082709296950 1212634412584 1515793015730 2122110222022 2165418593900 3031586031460 3789482539325 4244220444044 4330837187800 5305275555055 6063172062920 7578965078650 8488440888088 10610551110110 15157930157300 21221102220220 26526377775275 30315860314600 42442204440440 53052755550550 106105511101100 212211022202200