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2201232333100 = 2252103449475973
BaseRepresentation
bin100000000010000011101…
…010111101100100101100
321210102202122222112200011
4200002003222331210230
5242031110434124400
64403122052143004
7315014406053653
oct40020352754454
97712678875604
102201232333100
117795a02a2099
122b6744307a64
1312c762c88918
147877c4ba19a
153c3d47278ba
hex20083abd92c

2201232333100 has 72 divisors (see below), whose sum is σ = 4833801554400. Its totient is φ = 870000660480.

The previous prime is 2201232333059. The next prime is 2201232333149. The reversal of 2201232333100 is 13332321022.

It is a super-2 number, since 2×22012323331002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4386714 + ... + 4862686.

It is an arithmetic number, because the mean of its divisors is an integer number (67136132700).

Almost surely, 22201232333100 is an apocalyptic number.

2201232333100 is a gapful number since it is divisible by the number (20) 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 2201232333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416900777200).

2201232333100 is an abundant number, since it is smaller than the sum of its proper divisors (2632569221300).

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

2201232333100 is a wasteful number, since it uses less digits than its factorization.

2201232333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476539 (or 476532 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2201232333100 its reverse (13332321022), we get a palindrome (2214564654122).

The spelling of 2201232333100 in words is "two trillion, two hundred one billion, two hundred thirty-two million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 449 515 898 1030 1796 2060 2245 2575 4490 5150 8980 10300 11225 22450 44900 46247 92494 184988 231235 462470 475973 924940 951946 1156175 1903892 2312350 2379865 4624700 4759730 9519460 11899325 23798650 47597300 49025219 98050438 196100876 213711877 245126095 427423754 490252190 854847508 980504380 1068559385 1225630475 2137118770 2451260950 4274237540 4902521900 5342796925 10685593850 21371187700 22012323331 44024646662 88049293324 110061616655 220123233310 440246466620 550308083275 1100616166550 2201232333100