Search a number
-
+
1001122220211 = 319373131516583
BaseRepresentation
bin11101001000101111000…
…10001100100010110011
310112201001221002010012120
432210113202030202303
5112400244242021321
62043524215325323
7132220512316041
oct16442742144263
93481057063176
101001122220211
11356634437613
12142035980843
1373536929379
14366514cb391
151b09503aec6
hexe91788c8b3

1001122220211 has 32 divisors (see below), whose sum is σ = 1447670423040. Its totient is φ = 613232964864.

The previous prime is 1001122220183. The next prime is 1001122220309. The reversal of 1001122220211 is 1120222211001.

It is not a de Polignac number, because 1001122220211 - 27 = 1001122220083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001122220011) 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 31 ways as a sum of consecutive naturals, for example, 98175 + ... + 1418408.

It is an arithmetic number, because the mean of its divisors is an integer number (45239700720).

Almost surely, 21001122220211 is an apocalyptic number.

1001122220211 is a deficient number, since it is larger than the sum of its proper divisors (446548202829).

1001122220211 is a wasteful number, since it uses less digits than its factorization.

1001122220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516955.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001122220211 its reverse (1120222211001), we get a palindrome (2121344431212).

The spelling of 1001122220211 in words is "one trillion, one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 3 19 37 57 111 313 703 939 2109 5947 11581 17841 34743 220039 660117 1516583 4549749 28815077 56113571 86445231 168340713 474690479 1066157849 1424071437 3198473547 9019119101 17563547723 27057357303 52690643169 333707406737 1001122220211