Search a number
-
+
131120030033 = 2341199369767
BaseRepresentation
bin111101000011101011…
…1001110000101010001
3110112102222110122222122
41322013113032011101
54122013211430113
6140122525144025
712321163603016
oct1720727160521
9415388418878
10131120030033
1150675925293
12214b39bb015
13c497c494b5
1464bc13d70d
153626354408
hex1e875ce151

131120030033 has 16 divisors (see below), whose sum is σ = 140230331136. Its totient is φ = 122297007360.

The previous prime is 131120030023. The next prime is 131120030051. The reversal of 131120030033 is 330030021131.

It is a cyclic number.

It is not a de Polignac number, because 131120030033 - 24 = 131120030017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131120029993 and 131120030020.

It is not an unprimeable number, because it can be changed into a prime (131120030023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844516 + ... + 1914282.

It is an arithmetic number, because the mean of its divisors is an integer number (8764395696).

Almost surely, 2131120030033 is an apocalyptic number.

It is an amenable number.

131120030033 is a deficient number, since it is larger than the sum of its proper divisors (9110301103).

131120030033 is a wasteful number, since it uses less digits than its factorization.

131120030033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71824.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 131120030033 its reverse (330030021131), we get a palindrome (461150051164).

The spelling of 131120030033 in words is "one hundred thirty-one billion, one hundred twenty million, thirty thousand, thirty-three".

Divisors: 1 23 41 943 1993 45839 69767 81713 1604641 1879399 2860447 65790281 139045631 3198049513 5700870871 131120030033