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211120002212 = 227311811343789
BaseRepresentation
bin1100010010011110111…
…0111001010010100100
3202011221022112022211012
43010213232321102210
511424333210032322
6240553122201352
721152515260350
oct3044756712244
9664838468735
10211120002212
1181598812479
1234abb7b3258
1316ba7071742
14a30acac460
155759819ae2
hex3127bb94a4

211120002212 has 48 divisors (see below), whose sum is σ = 438269045760. Its totient is φ = 87077462400.

The previous prime is 211120002209. The next prime is 211120002217. The reversal of 211120002212 is 212200021112.

211120002212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (211120002217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514787 + ... + 829002.

It is an arithmetic number, because the mean of its divisors is an integer number (9130605120).

Almost surely, 2211120002212 is an apocalyptic number.

It is an amenable number.

211120002212 is an abundant number, since it is smaller than the sum of its proper divisors (227149043548).

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

211120002212 is a wasteful number, since it uses less digits than its factorization.

211120002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344012 (or 1344010 counting only the distinct ones).

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

Adding to 211120002212 its reverse (212200021112), we get a palindrome (423320023324).

The spelling of 211120002212 in words is "two hundred eleven billion, one hundred twenty million, two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 31 62 124 181 217 362 434 724 868 1267 2534 5068 5611 11222 22444 39277 78554 157108 1343789 2687578 5375156 9406523 18813046 37626092 41657459 83314918 166629836 243225809 291602213 486451618 583204426 972903236 1166408852 1702580663 3405161326 6810322652 7540000079 15080000158 30160000316 52780000553 105560001106 211120002212