Search a number
-
+
110122102002 = 231117617159073
BaseRepresentation
bin110011010001111001…
…0011110110011110010
3101112020121011101211110
41212203302132303302
53301012224231002
6122331150454150
710645633264653
oct1464362366362
9345217141743
10110122102002
1142780068160
1219413804356
13a4cc8ab803
1454894c952a
152ce7bb5e6c
hex19a3c9ecf2

110122102002 has 64 divisors (see below), whose sum is σ = 254813641344. Its totient is φ = 31356272640.

The previous prime is 110122101967. The next prime is 110122102039. The reversal of 110122102002 is 200201221011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612738 + ... + 771810.

It is an arithmetic number, because the mean of its divisors is an integer number (3981463146).

Almost surely, 2110122102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110122102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127406820672).

110122102002 is an abundant number, since it is smaller than the sum of its proper divisors (144691539342).

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

110122102002 is a wasteful number, since it uses less digits than its factorization.

110122102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159723.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110122102002 its reverse (200201221011), we get a palindrome (310323323013).

The spelling of 110122102002 in words is "one hundred ten billion, one hundred twenty-two million, one hundred two thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 617 1122 1234 1851 3702 6787 10489 13574 20361 20978 31467 40722 62934 115379 159073 230758 318146 346137 477219 692274 954438 1749803 2704241 3499606 5249409 5408482 8112723 10498818 16225446 29746651 59493302 89239953 98148041 178479906 196296082 294444123 588888246 1079628451 1668516697 2159256902 3238885353 3337033394 5005550091 6477770706 10011100182 18353683667 36707367334 55061051001 110122102002