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130131432121 = 3710134822433
BaseRepresentation
bin111100100110001110…
…0000001001010111001
3110102220002020200121011
41321030130001022321
54113002121311441
6135440452113521
712254530631245
oct1711434011271
9412802220534
10130131432121
115020888a019
12212789058a1
13c36b1a2112
146426b1d425
1535b9676581
hex1e4c7012b9

130131432121 has 8 divisors (see below), whose sum is σ = 134971754184. Its totient is φ = 125360755200.

The previous prime is 130131432077. The next prime is 130131432143. The reversal of 130131432121 is 121234131031.

It can be written as a sum of positive squares in 4 ways, for example, as 88601475600 + 41529956521 = 297660^2 + 203789^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130131432121 - 211 = 130131430073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130131432092 and 130131432101.

It is not an unprimeable number, because it can be changed into a prime (130131432181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17407480 + ... + 17414953.

It is an arithmetic number, because the mean of its divisors is an integer number (16871469273).

Almost surely, 2130131432121 is an apocalyptic number.

It is an amenable number.

130131432121 is a deficient number, since it is larger than the sum of its proper divisors (4840322063).

130131432121 is a wasteful number, since it uses less digits than its factorization.

130131432121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34822571.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 130131432121 its reverse (121234131031), we get a palindrome (251365563152).

The spelling of 130131432121 in words is "one hundred thirty billion, one hundred thirty-one million, four hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 37 101 3737 34822433 1288430021 3517065733 130131432121