Search a number
-
+
130710973 = 3137831373
BaseRepresentation
bin1111100101001…
…11110110111101
3100002221210202011
413302213312331
5231430222343
620545331221
73145011361
oct762476675
9302853664
10130710973
11678680a8
1237936b11
1321107293
14135072a1
15b71e29d
hex7ca7dbd

130710973 has 16 divisors (see below), whose sum is σ = 140345856. Its totient is φ = 121504320.

The previous prime is 130710967. The next prime is 130710997. The reversal of 130710973 is 379017031.

It is a cyclic number.

It is not a de Polignac number, because 130710973 - 25 = 130710941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130770973) 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, 94515 + ... + 95887.

It is an arithmetic number, because the mean of its divisors is an integer number (8771616).

Almost surely, 2130710973 is an apocalyptic number.

It is an amenable number.

130710973 is a deficient number, since it is larger than the sum of its proper divisors (9634883).

130710973 is a wasteful number, since it uses less digits than its factorization.

130710973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524.

The product of its (nonzero) digits is 3969, while the sum is 31.

The square root of 130710973 is about 11432.8899671081. The cubic root of 130710973 is about 507.5015221548.

The spelling of 130710973 in words is "one hundred thirty million, seven hundred ten thousand, nine hundred seventy-three".

Divisors: 1 31 37 83 1147 1373 2573 3071 42563 50801 95201 113959 1574831 3532729 4216483 130710973