Search a number
-
+
1001112221221 = 72011600711839
BaseRepresentation
bin11101001000101101111…
…00000011011000100101
310112201001020021010011121
432210112330003120211
5112400234212034341
62043523221133541
7132220331322340
oct16442674033045
93481036233147
101001112221221
11356629828192
1214203255a2b1
13735348380c8
1436650047457
151b0942134d1
hexe916f03625

1001112221221 has 16 divisors (see below), whose sum is σ = 1144984453120. Its totient is φ = 857454277680.

The previous prime is 1001112221171. The next prime is 1001112221231. The reversal of 1001112221221 is 1221222111001.

It is a de Polignac number, because none of the positive numbers 2k-1001112221221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001112221195 and 1001112221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112221231) 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, 84554620 + ... + 84566458.

It is an arithmetic number, because the mean of its divisors is an integer number (71561528320).

Almost surely, 21001112221221 is an apocalyptic number.

It is an amenable number.

1001112221221 is a deficient number, since it is larger than the sum of its proper divisors (143872231899).

1001112221221 is a wasteful number, since it uses less digits than its factorization.

1001112221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19864.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1001112221221 its reverse (1221222111001), we get a palindrome (2222334332222).

The spelling of 1001112221221 in words is "one trillion, one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 2011 6007 11839 14077 42049 82873 12080077 23808229 71116873 84560539 166657603 497818111 143016031603 1001112221221