Search a number
-
+
112303323102321 = 34131553633710837
BaseRepresentation
bin11001100010001110100111…
…101011100011110001110001
3112201122002111200022202020000
4121202032213223203301301
5104204434201203233241
61034503233455340213
732440435016042241
oct3142164753436161
9481562450282200
10112303323102321
113286863217122a
1210719177821669
134a88208c74c60
141da371d003b21
15ceb4019b6eb6
hex6623a7ae3c71

112303323102321 has 80 divisors (see below), whose sum is σ = 180828051240144. Its totient is φ = 69047965679616.

The previous prime is 112303323102283. The next prime is 112303323102329. The reversal of 112303323102321 is 123201323303211.

112303323102321 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 0 + 3 + 323 + 10 + 2 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41676527301696 + 70626795800625 = 6455736^2 + 8403975^2 .

It is not a de Polignac number, because 112303323102321 - 210 = 112303323101297 is a prime.

It is a super-2 number, since 2×1123033231023212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112303323102329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10362947715 + ... + 10362958551.

Almost surely, 2112303323102321 is an apocalyptic number.

It is an amenable number.

112303323102321 is a deficient number, since it is larger than the sum of its proper divisors (68524728137823).

112303323102321 is a wasteful number, since it uses less digits than its factorization.

112303323102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18752 (or 18743 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 112303323102321 its reverse (123201323303211), we get a palindrome (235504646405532).

The spelling of 112303323102321 in words is "one hundred twelve trillion, three hundred three billion, three hundred twenty-three million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1553 4659 6337 10837 13977 19011 20189 32511 41931 57033 60567 82381 97533 125793 140881 171099 181701 247143 292599 422643 513297 545103 741429 877797 1267929 1635309 2224287 3803787 6672861 9841361 11411361 16829861 29524083 50489583 68674069 88572249 127937693 151468749 206022207 218788193 265716747 383813079 454406247 618066621 656364579 797150241 892762897 1151439237 1363218741 1854199863 1969093737 2678288691 3454317711 5562599589 5907281211 8034866073 10362953133 17721843633 24104598219 72313794657 106650829157 319952487471 959857462413 1386460779041 2879572387239 4159382337123 8638717161717 12478147011369 37434441034107 112303323102321