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212011111002200 = 235223229201263633
BaseRepresentation
bin110000001101001010101110…
…111101011011000001011000
31000210200001201212000112222212
4300031022232331123001120
5210242042223404032300
62030524320530534252
762441203654310456
oct6015125675330130
91023601655015885
10212011111002200
116160a4530515a4
121b941210137388
13913b73c89c683
143a4d56d1299d6
151979d67678935
hexc0d2aef5b058

212011111002200 has 96 divisors (see below), whose sum is σ = 516603495751200. Its totient is φ = 80763070248960.

The previous prime is 212011111002167. The next prime is 212011111002233. The reversal of 212011111002200 is 2200111110212.

It is an interprime number because it is at equal distance from previous prime (212011111002167) and next prime (212011111002233).

It is a super-2 number, since 2×2120111110022002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99578417 + ... + 101685216.

It is an arithmetic number, because the mean of its divisors is an integer number (5381286414075).

Almost surely, 2212011111002200 is an apocalyptic number.

212011111002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011111002200 is an abundant number, since it is smaller than the sum of its proper divisors (304592384749000).

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

212011111002200 is a wasteful number, since it uses less digits than its factorization.

212011111002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201263901 (or 201263892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011111002200 its reverse (2200111110212), we get a palindrome (214211222112412).

The spelling of 212011111002200 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 229 230 458 460 575 916 920 1145 1150 1832 2290 2300 4580 4600 5267 5725 9160 10534 11450 21068 22900 26335 42136 45800 52670 105340 131675 210680 263350 526700 1053400 201263633 402527266 805054532 1006318165 1610109064 2012636330 4025272660 4629063559 5031590825 8050545320 9258127118 10063181650 18516254236 20126363300 23145317795 37032508472 40252726600 46089371957 46290635590 92178743914 92581271180 115726588975 184357487828 185162542360 230446859785 231453177950 368714975656 460893719570 462906355900 921787439140 925812711800 1060055555011 1152234298925 1843574878280 2120111110022 2304468597850 4240222220044 4608937195700 5300277775055 8480444440088 9217874391400 10600555550110 21201111100220 26501388875275 42402222200440 53002777750550 106005555501100 212011111002200