Search a number
-
+
131100001331233 = 11292931402634099
BaseRepresentation
bin11101110011110000011001…
…000000100110100000100001
3122012012001000111120200121111
4131303300121000212200201
5114140420300320044413
61142454301552023321
736420443150562244
oct3563603100464041
9565161014520544
10131100001331233
113885521aa88410
1212854085231b41
13581c8a570836c
1424533b98d125b
15102532a20dd3d
hex773c19026821

131100001331233 has 16 divisors (see below), whose sum is σ = 148454793144000. Its totient is φ = 114679363852480.

The previous prime is 131100001331209. The next prime is 131100001331237. The reversal of 131100001331233 is 332133100001131.

It is a cyclic number.

It is not a de Polignac number, because 131100001331233 - 233 = 131091411396641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131100001331237) 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, 701223583 + ... + 701410516.

It is an arithmetic number, because the mean of its divisors is an integer number (9278424571500).

Almost surely, 2131100001331233 is an apocalyptic number.

It is an amenable number.

131100001331233 is a deficient number, since it is larger than the sum of its proper divisors (17354791812767).

131100001331233 is a wasteful number, since it uses less digits than its factorization.

131100001331233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402634432.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131100001331233 its reverse (332133100001131), we get a palindrome (463233101332364).

The spelling of 131100001331233 in words is "one hundred thirty-one trillion, one hundred billion, one million, three hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 11 29 293 319 3223 8497 93467 1402634099 15428975089 40676388871 410971791007 447440277581 4520689701077 11918181939203 131100001331233