Search a number
-
+
120111102133 = 111710140115859
BaseRepresentation
bin110111111011100101…
…1011111100010110101
3102111000202020011222021
41233313023133202311
53431441420232013
6131102301433141
711451315344221
oct1576713374265
9374022204867
10120111102133
1146a36649870
121b340b6b7b1
13b432217289
145b55dc7781
1531ceaeea8d
hex1bf72df8b5

120111102133 has 32 divisors (see below), whose sum is σ = 140469863040. Its totient is φ = 101491200000.

The previous prime is 120111102109. The next prime is 120111102143. The reversal of 120111102133 is 331201111021.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120111102133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120111102143) 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, 7565758 + ... + 7581616.

It is an arithmetic number, because the mean of its divisors is an integer number (4389683220).

Almost surely, 2120111102133 is an apocalyptic number.

It is an amenable number.

120111102133 is a deficient number, since it is larger than the sum of its proper divisors (20358760907).

120111102133 is a wasteful number, since it uses less digits than its factorization.

120111102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16389.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 120111102133 its reverse (331201111021), we get a palindrome (451312213154).

It can be divided in two parts, 1201111021 and 33, that multiplied together give a palindrome (39636663693).

The spelling of 120111102133 in words is "one hundred twenty billion, one hundred eleven million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 11 17 101 187 401 1111 1717 4411 6817 15859 18887 40501 74987 174449 269603 445511 688517 1601759 2965633 6359459 7573687 17619349 27229903 69954049 108110803 299528933 642305359 1189218833 7065358949 10919191103 120111102133