Search a number
-
+
3122330030100 = 22325213992479811
BaseRepresentation
bin101101011011111001010…
…111110101000000010100
3102001111021112210200100200
4231123321113311000110
5402124012441430400
610350213440340500
7441403151233131
oct55337127650024
912044245720320
103122330030100
11aa41999a2a06
12425166014730
13198585674cb8
14ab19b887588
155634404db00
hex2d6f95f5014

3122330030100 has 108 divisors (see below), whose sum is σ = 9793769512800. Its totient is φ = 832025851200.

The previous prime is 3122330030047. The next prime is 3122330030117. The reversal of 3122330030100 is 10300332213.

3122330030100 is a `hidden beast` number, since 31 + 2 + 2 + 330 + 0 + 301 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19195 + ... + 2499005.

Almost surely, 23122330030100 is an apocalyptic number.

3122330030100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122330030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896884756400).

3122330030100 is an abundant number, since it is smaller than the sum of its proper divisors (6671439482700).

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

3122330030100 is a wasteful number, since it uses less digits than its factorization.

3122330030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481230 (or 2481220 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3122330030100 its reverse (10300332213), we get a palindrome (3132630362313).

The spelling of 3122330030100 in words is "three trillion, one hundred twenty-two billion, three hundred thirty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1399 2798 4197 5596 6995 8394 12591 13990 16788 20985 25182 27980 34975 41970 50364 62955 69950 83940 104925 125910 139900 209850 251820 314775 419700 629550 1259100 2479811 4959622 7439433 9919244 12399055 14878866 22318299 24798110 29757732 37197165 44636598 49596220 61995275 74394330 89273196 111591495 123990550 148788660 185985825 223182990 247981100 371971650 446365980 557957475 743943300 1115914950 2231829900 3469255589 6938511178 10407766767 13877022356 17346277945 20815533534 31223300301 34692555890 41631067068 52038833835 62446600602 69385111780 86731389725 104077667670 124893201204 156116501505 173462779450 208155335340 260194169175 312233003010 346925558900 520388338350 624466006020 780582507525 1040776676700 1561165015050 3122330030100