Search a number
-
+
131423133042 = 23310037242479
BaseRepresentation
bin111101001100101101…
…1011101110101110010
3110120020002210220011000
41322121123131311302
54123123310224132
6140212553502430
712331534125165
oct1723133356562
9416202726130
10131423133042
1150810a29043
1221579411a16
13c5159927a6
14650a4bdadc
153642c7787c
hex1e996ddd72

131423133042 has 32 divisors (see below), whose sum is σ = 292081708800. Its totient is φ = 43803165744.

The previous prime is 131423133041. The next prime is 131423133047. The reversal of 131423133042 is 240331324131.

It is a happy number.

131423133042 is a `hidden beast` number, since 1 + 3 + 1 + 42 + 313 + 304 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131423132997 and 131423133015.

It is not an unprimeable number, because it can be changed into a prime (131423133041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420759 + ... + 663237.

It is an arithmetic number, because the mean of its divisors is an integer number (9127553400).

Almost surely, 2131423133042 is an apocalyptic number.

131423133042 is an abundant number, since it is smaller than the sum of its proper divisors (160658575758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131423133042 is a wasteful number, since it uses less digits than its factorization.

131423133042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252527 (or 252521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131423133042 its reverse (240331324131), we get a palindrome (371754457173).

The spelling of 131423133042 in words is "one hundred thirty-one billion, four hundred twenty-three million, one hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 10037 20074 30111 60222 90333 180666 242479 270999 484958 541998 727437 1454874 2182311 4364622 6546933 13093866 2433761723 4867523446 7301285169 14602570338 21903855507 43807711014 65711566521 131423133042