Search a number
-
+
13113022322233 = 173761220532729
BaseRepresentation
bin1011111011010001110100…
…0010011001011000111001
31201102121000001221101100001
42332310131002121120321
53204320432203302413
643520012253113001
72522245626445051
oct276643502313071
951377001841301
1013113022322233
1141a6224277279
121579484788761
13741725383c72
14334960782561
1517b176c824dd
hexbed1d099639

13113022322233 has 48 divisors (see below), whose sum is σ = 14509602984240. Its totient is φ = 11801176104960.

The previous prime is 13113022322203. The next prime is 13113022322269. The reversal of 13113022322233 is 33222322031131.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 5562111878569 + 7550910443664 = 2358413^2 + 2747892^2 .

It is a de Polignac number, because none of the positive numbers 2k-13113022322233 is a prime.

It is a super-2 number, since 2×131130223222332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13113022322203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4805063613 + ... + 4805066341.

It is an arithmetic number, because the mean of its divisors is an integer number (302283395505).

Almost surely, 213113022322233 is an apocalyptic number.

It is an amenable number.

13113022322233 is a deficient number, since it is larger than the sum of its proper divisors (1396580662007).

13113022322233 is a wasteful number, since it uses less digits than its factorization.

13113022322233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13113022322233 its reverse (33222322031131), we get a palindrome (46335344353364).

The spelling of 13113022322233 in words is "thirteen trillion, one hundred thirteen billion, twenty-two million, three hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 17 37 61 629 1037 2053 2257 2729 3721 34901 38369 46393 63257 75961 100973 125233 137677 166469 1291337 1716541 2128961 2340509 2829973 4633621 5602637 6159353 7639213 10154609 78771557 95244829 104709001 129866621 172628353 207297569 282650881 341760857 375720533 3524058673 4805064977 5809934569 6387249061 12645151709 20847412277 214967579053 354406008709 771354254249 13113022322233