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110202120006 = 23112375196667
BaseRepresentation
bin110011010100010001…
…1101110011101000110
3101112110011201201220020
41212220203232131012
53301143220320011
6122343125520010
710650624364416
oct1465043563506
9345404651806
10110202120006
1142811250940
1219436573006
13a513347144
145495d98646
152ceec20006
hex19a88ee746

110202120006 has 64 divisors (see below), whose sum is σ = 251231625216. Its totient is φ = 31899780000.

The previous prime is 110202119981. The next prime is 110202120011. The reversal of 110202120006 is 600021202011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091685 + ... + 1188351.

It is an arithmetic number, because the mean of its divisors is an integer number (3925494144).

Almost surely, 2110202120006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110202120006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125615812608).

110202120006 is an abundant number, since it is smaller than the sum of its proper divisors (141029505210).

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

110202120006 is a wasteful number, since it uses less digits than its factorization.

110202120006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97457.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 110202120006 its reverse (600021202011), we get a palindrome (710223322017).

The spelling of 110202120006 in words is "one hundred ten billion, two hundred two million, one hundred twenty thousand, six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 751 759 1502 1518 2253 4506 8261 16522 17273 24783 34546 49566 51819 96667 103638 190003 193334 290001 380006 570009 580002 1063337 1140018 2126674 2223341 3190011 4446682 6380022 6670023 13340046 24456751 48913502 72596917 73370253 145193834 146740506 217790751 435581502 798566087 1597132174 1669729091 2395698261 3339458182 4791396522 5009187273 10018374546 18367020001 36734040002 55101060003 110202120006