Search a number
-
+
1022111201001 = 311151205119647
BaseRepresentation
bin11101101111110101001…
…00110011011011101001
310121201020200112211001110
432313322210303123221
5113221240431413001
62101315034140533
7133562603600622
oct16677244633351
93551220484043
101022111201001
11364525143530
12146112b81749
1375500183727
1437682c92a49
151b8c2a0d3d6
hexedfa9336e9

1022111201001 has 16 divisors (see below), whose sum is σ = 1496552951808. Its totient is φ = 615358938000.

The previous prime is 1022111200987. The next prime is 1022111201029. The reversal of 1022111201001 is 1001021112201.

It is not a de Polignac number, because 1022111201001 - 215 = 1022111168233 is a prime.

It is a super-3 number, since 3×10221112010013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1022111601001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102554841 + ... + 102564806.

It is an arithmetic number, because the mean of its divisors is an integer number (93534559488).

Almost surely, 21022111201001 is an apocalyptic number.

1022111201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022111201001 is a deficient number, since it is larger than the sum of its proper divisors (474441750807).

1022111201001 is a wasteful number, since it uses less digits than its factorization.

1022111201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205119812.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022111201001 its reverse (1001021112201), we get a palindrome (2023132313202).

The spelling of 1022111201001 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred one thousand, one".

Divisors: 1 3 11 33 151 453 1661 4983 205119647 615358941 2256316117 6768948351 30973066697 92919200091 340703733667 1022111201001