Search a number
-
+
110021002101 = 3217242299501
BaseRepresentation
bin110011001110111000…
…0110100001101110101
3101111222112220222211200
41212131300310031311
53300310334031401
6122313135523113
710643265042033
oct1463560641565
9344875828750
10110021002101
1142728a9531a
12193a5989499
13a4b497149a
145479ccd553
152cddd95686
hex199dc34375

110021002101 has 18 divisors (see below), whose sum is σ = 168817312482. Its totient is φ = 69032784000.

The previous prime is 110021002097. The next prime is 110021002123. The reversal of 110021002101 is 101200120011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 82056467025 + 27964535076 = 286455^2 + 167226^2 .

It is not a de Polignac number, because 110021002101 - 22 = 110021002097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021002141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21147150 + ... + 21152351.

Almost surely, 2110021002101 is an apocalyptic number.

It is an amenable number.

110021002101 is a deficient number, since it is larger than the sum of its proper divisors (58796310381).

110021002101 is a wasteful number, since it uses less digits than its factorization.

110021002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42299541 (or 42299521 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110021002101 its reverse (101200120011), we get a palindrome (211221122112).

The spelling of 110021002101 in words is "one hundred ten billion, twenty-one million, two thousand, one hundred one".

Divisors: 1 3 9 17 51 153 289 867 2601 42299501 126898503 380695509 719091517 2157274551 6471823653 12224555789 36673667367 110021002101