Search a number
-
+
1312223333322 = 2311137239607219
BaseRepresentation
bin10011000110000110100…
…110110000101111001010
311122110002002201010022010
4103012012212300233022
5132444413133131242
62442454352040350
7163543055203566
oct23060646605712
94573062633263
101312223333322
11466568953460
12192398b330b6
13969855c5955
1447724b006a6
15242020ad89c
hex131869b0bca

1312223333322 has 64 divisors (see below), whose sum is σ = 2896002201600. Its totient is φ = 393088644480.

The previous prime is 1312223333279. The next prime is 1312223333347. The reversal of 1312223333322 is 2233333222131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1312223333322.

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, 1857429 + ... + 2464647.

It is an arithmetic number, because the mean of its divisors is an integer number (45250034400).

Almost surely, 21312223333322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312223333322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448001100800).

1312223333322 is an abundant number, since it is smaller than the sum of its proper divisors (1583778868278).

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

1312223333322 is a wasteful number, since it uses less digits than its factorization.

1312223333322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607611.

The product of its digits is 23328, while the sum is 30.

Adding to 1312223333322 its reverse (2233333222131), we get a palindrome (3545556555453).

The spelling of 1312223333322 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, three hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 137 239 274 411 478 717 822 1434 1507 2629 3014 4521 5258 7887 9042 15774 32743 65486 98229 196458 360173 607219 720346 1080519 1214438 1821657 2161038 3643314 6679409 13358818 20038227 40076454 83189003 145125341 166378006 249567009 290250682 435376023 499134018 870752046 915079033 1596378751 1830158066 2745237099 3192757502 4789136253 5490474198 9578272506 19882171717 39764343434 59646515151 119293030302 218703888887 437407777774 656111666661 1312223333322