Search a number
-
+
2232211003100 = 22521314911524063
BaseRepresentation
bin100000011110111010001…
…001001101011011011100
321220101201121211000220022
4200132322021031123130
5243033032004044400
64425244044411312
7320162161315061
oct40367211153334
97811647730808
102232211003100
11790747a10401
1230074ab46b38
1313265c0302a0
147a07a8bcc68
153d0e921cb85
hex207ba24d6dc

2232211003100 has 72 divisors (see below), whose sum is σ = 5251515964800. Its totient is φ = 818669364480.

The previous prime is 2232211003037. The next prime is 2232211003111. The reversal of 2232211003100 is 13001122322.

2232211003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22322110031003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5568332 + ... + 5955731.

Almost surely, 22232211003100 is an apocalyptic number.

2232211003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232211003100 is an abundant number, since it is smaller than the sum of its proper divisors (3019304961700).

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

2232211003100 is a wasteful number, since it uses less digits than its factorization.

2232211003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524239 (or 11524232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2232211003100 its reverse (13001122322), we get a palindrome (2245212125422).

The spelling of 2232211003100 in words is "two trillion, two hundred thirty-two billion, two hundred eleven million, three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 149 260 298 325 596 650 745 1300 1490 1937 2980 3725 3874 7450 7748 9685 14900 19370 38740 48425 96850 193700 11524063 23048126 46096252 57620315 115240630 149812819 230481260 288101575 299625638 576203150 599251276 749064095 1152406300 1498128190 1717085387 2996256380 3434170774 3745320475 6868341548 7490640950 8585426935 14981281900 17170853870 22322110031 34341707740 42927134675 44644220062 85854269350 89288440124 111610550155 171708538700 223221100310 446442200620 558052750775 1116105501550 2232211003100