Search a number
-
+
110131223213133 = 3373940511362511
BaseRepresentation
bin11001000010100111101100…
…011100000011010001001101
3112102221102221022011200201000
4121002213230130003101031
5103413342221120310013
61030121330244410513
732124501243443133
oct3102475434032115
9472842838150630
10110131223213133
1132100431430471
12104282039a6a39
13495b439707235
141d2a545a5d753
15caeb74b49973
hex6429ec70344d

110131223213133 has 32 divisors (see below), whose sum is σ = 163418599270400. Its totient is φ = 73303310502000.

The previous prime is 110131223213113. The next prime is 110131223213189. The reversal of 110131223213133 is 331312322131011.

110131223213133 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 1 + 22 + 321 + 313 + 3 = 666.

It is not a de Polignac number, because 110131223213133 - 212 = 110131223209037 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110131223213097 and 110131223213106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110131223213113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80148348 + ... + 81510858.

It is an arithmetic number, because the mean of its divisors is an integer number (5106831227200).

Almost surely, 2110131223213133 is an apocalyptic number.

It is an amenable number.

110131223213133 is a deficient number, since it is larger than the sum of its proper divisors (53287376057267).

110131223213133 is a wasteful number, since it uses less digits than its factorization.

110131223213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367310 (or 1367304 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 110131223213133 its reverse (331312322131011), we get a palindrome (441443545344144).

The spelling of 110131223213133 in words is "one hundred ten trillion, one hundred thirty-one billion, two hundred twenty-three million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 739 2217 4051 6651 12153 19953 36459 109377 1362511 2993689 4087533 8981067 12262599 26943201 36787797 80829603 1006895629 3020686887 5519532061 9062060661 16558596183 27186181983 49675788549 149027365647 4078934193079 12236802579237 36710407737711 110131223213133