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212200021201100 = 225217211159130053
BaseRepresentation
bin110000001111111010101010…
…111000101001000011001100
31000211100010100022212222022012
4300033322222320221003030
5210303141120411413400
62031151202144040352
762460642225435032
oct6017725270510314
91024303308788265
10212200021201100
1161682583a1a019
121b9719519030b8
1391534b74b195a
143a58770442552
15197ec22220d35
hexc0feaae290cc

212200021201100 has 72 divisors (see below), whose sum is σ = 487791724831488. Its totient is φ = 79849222220800.

The previous prime is 212200021201087. The next prime is 212200021201111. The reversal of 212200021201100 is 1102120002212.

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, 25976327 + ... + 33153726.

It is an arithmetic number, because the mean of its divisors is an integer number (6774885067104).

Almost surely, 2212200021201100 is an apocalyptic number.

212200021201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200021201100 is an abundant number, since it is smaller than the sum of its proper divisors (275591703630388).

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

212200021201100 is a wasteful number, since it uses less digits than its factorization.

212200021201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59132195 (or 59132188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212200021201100 its reverse (1102120002212), we get a palindrome (213302141203312).

The spelling of 212200021201100 in words is "two hundred twelve trillion, two hundred billion, twenty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2111 4222 8444 10555 21110 35887 42220 52775 71774 105550 143548 179435 211100 358870 717740 897175 1794350 3588700 59130053 118260106 236520212 295650265 591300530 1005210901 1182601060 1478251325 2010421802 2956502650 4020843604 5026054505 5913005300 10052109010 20104218020 25130272525 50260545050 100521090100 124823541883 249647083766 499294167532 624117709415 1248235418830 2122000212011 2496470837660 3120588547075 4244000424022 6241177094150 8488000848044 10610001060055 12482354188300 21220002120110 42440004240220 53050005300275 106100010600550 212200021201100