Search a number
-
+
323320313110113 = 321123716193230881
BaseRepresentation
bin100100110000011101110000…
…0011010010101111001100001
31120101210010020112022022021200
41021200323200122111321201
5314334240000124010423
63103351145031311413
7125050056523340004
oct11140734032257141
91511703215268250
10323320313110113
1194024413897840
123031978681b569
1310b53c89560117
1459bab027db53b
15275a483ab1d43
hex1260ee0695e61

323320313110113 has 96 divisors (see below), whose sum is σ = 539984287365120. Its totient is φ = 184493586816000.

The previous prime is 323320313110099. The next prime is 323320313110141. The reversal of 323320313110113 is 311011313023323.

323320313110113 is a `hidden beast` number, since 3 + 2 + 3 + 320 + 313 + 1 + 10 + 1 + 13 = 666.

It is not a de Polignac number, because 323320313110113 - 228 = 323320044674657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (323320313110163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98456433 + ... + 101687313.

It is an arithmetic number, because the mean of its divisors is an integer number (5624836326720).

Almost surely, 2323320313110113 is an apocalyptic number.

323320313110113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

323320313110113 is a deficient number, since it is larger than the sum of its proper divisors (216663974255007).

323320313110113 is a wasteful number, since it uses less digits than its factorization.

323320313110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231611 (or 3231608 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 323320313110113 its reverse (311011313023323), we get a palindrome (634331626133436).

The spelling of 323320313110113 in words is "three hundred twenty-three trillion, three hundred twenty billion, three hundred thirteen million, one hundred ten thousand, one hundred thirteen".

Divisors: 1 3 9 11 23 33 69 71 99 207 213 253 619 639 759 781 1633 1857 2277 2343 4899 5571 6809 7029 14237 14697 17963 20427 42711 43949 53889 61281 128133 131847 156607 161667 395541 469821 483439 1010827 1409463 1450317 3032481 3230881 4350951 9097443 9692643 11119097 29077929 33357291 35539691 74310263 100071873 106619073 222930789 229392551 319857219 668792367 688177653 817412893 1999915339 2064532959 2452238679 2523318061 5276028673 5999746017 7356716037 7569954183 15828086019 17999238051 21999068729 22709862549 45998052797 47484258057 58036315403 65997206187 137994158391 141993989069 174108946209 197991618561 413982475173 425981967207 505978580767 522326838627 1277945901621 1517935742301 1561933879759 3265861748587 4553807226903 4685801639277 9797585245761 14057404917831 29392755737283 35924479234457 107773437703371 323320313110113