Search a number
-
+
2213323314100 = 2252138116026961
BaseRepresentation
bin100000001101010100010…
…110011001001110110100
321211120222022022000111021
4200031110112121032310
5242230341232022400
64412441531550524
7315623133520303
oct40152426311664
97746868260437
102213323314100
11783735345078
122b8b595bb444
1313093bc26a52
14791a821c43a
153c890e6a71a
hex203545993b4

2213323314100 has 36 divisors (see below), whose sum is σ = 4806389742028. Its totient is φ = 884688192000.

The previous prime is 2213323314049. The next prime is 2213323314131. The reversal of 2213323314100 is 14133233122.

It can be written as a sum of positive squares in 6 ways, for example, as 217195145764 + 1996128168336 = 466042^2 + 1412844^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7875381 + ... + 8151580.

Almost surely, 22213323314100 is an apocalyptic number.

2213323314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213323314100 is an abundant number, since it is smaller than the sum of its proper divisors (2593066427928).

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

2213323314100 is a wasteful number, since it uses less digits than its factorization.

2213323314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16028356 (or 16028349 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2213323314100 its reverse (14133233122), we get a palindrome (2227456547222).

The spelling of 2213323314100 in words is "two trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1381 2762 5524 6905 13810 27620 34525 69050 138100 16026961 32053922 64107844 80134805 160269610 320539220 400674025 801348050 1602696100 22133233141 44266466282 88532932564 110666165705 221332331410 442664662820 553330828525 1106661657050 2213323314100