Search a number
-
+
1122202201101 = 34383661158563
BaseRepresentation
bin10000010101001000011…
…101101010110000001101
310222021121012102102222020
4100111020131222300031
5121341232230413401
62215311011440353
7144035134215552
oct20251035526015
93867535372866
101122202201101
113a2a17983323
121615a72b60b9
1381a917a5387
143c45a040a29
151e2cec20d36
hex1054876ac0d

1122202201101 has 32 divisors (see below), whose sum is σ = 1551867136512. Its totient is φ = 720835536960.

The previous prime is 1122202201073. The next prime is 1122202201139. The reversal of 1122202201101 is 1011022022211.

It is not a de Polignac number, because 1122202201101 - 25 = 1122202201069 is a prime.

It is a super-2 number, since 2×11222022011012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122202201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6998046 + ... + 7156608.

It is an arithmetic number, because the mean of its divisors is an integer number (48495848016).

Almost surely, 21122202201101 is an apocalyptic number.

It is an amenable number.

1122202201101 is a deficient number, since it is larger than the sum of its proper divisors (429664935411).

1122202201101 is a wasteful number, since it uses less digits than its factorization.

1122202201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159353.

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

Adding to 1122202201101 its reverse (1011022022211), we get a palindrome (2133224223312).

The spelling of 1122202201101 in words is "one trillion, one hundred twenty-two billion, two hundred two million, two hundred one thousand, one hundred one".

Divisors: 1 3 43 83 129 249 661 1983 3569 10707 28423 54863 85269 158563 164589 475689 2359109 6818209 7077327 13160729 20454627 39482187 104810143 314430429 565911347 1697734041 4506836149 8699241869 13520508447 26097725607 374067400367 1122202201101