Search a number
-
+
1020110110122 = 231714967121339
BaseRepresentation
bin11101101100000110100…
…11001111110110101010
310121112002020010212102110
432312003103033312222
5113203141142010442
62100344311543150
7133462164603465
oct16660323176652
93545066125373
101020110110122
11363698621314
1214585498aab6
137527171699c
14375331d22dc
151b806ed269c
hexed834cfdaa

1020110110122 has 32 divisors (see below), whose sum is σ = 2174731416000. Its totient is φ = 317886656768.

The previous prime is 1020110110121. The next prime is 1020110110133. The reversal of 1020110110122 is 2210110110201.

It is a junction number, because it is equal to n+sod(n) for n = 1020110110098 and 1020110110107.

It is not an unprimeable number, because it can be changed into a prime (1020110110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33545472 + ... + 33575867.

It is an arithmetic number, because the mean of its divisors is an integer number (67960356750).

Almost surely, 21020110110122 is an apocalyptic number.

1020110110122 is an abundant number, since it is smaller than the sum of its proper divisors (1154621305878).

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

1020110110122 is a wasteful number, since it uses less digits than its factorization.

1020110110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67121510.

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

Adding to 1020110110122 its reverse (2210110110201), we get a palindrome (3230220220323).

The spelling of 1020110110122 in words is "one trillion, twenty billion, one hundred ten million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 149 298 447 894 2533 5066 7599 15198 67121339 134242678 201364017 402728034 1141062763 2282125526 3423188289 6846376578 10001079511 20002159022 30003238533 60006477066 170018351687 340036703374 510055055061 1020110110122