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131002505233 = 619157234529
BaseRepresentation
bin111101000000001011…
…0111001100000010001
3110112010210022210021021
41322000112321200101
54121243120131413
6140103130155441
712315235631065
oct1720026714021
9415123283237
10131002505233
1150615554156
1221480582b81
13c4797ab0b2
1464aa6a9aa5
15361ad8c18d
hex1e805b9811

131002505233 has 8 divisors (see below), whose sum is σ = 133165195880. Its totient is φ = 128840302080.

The previous prime is 131002505191. The next prime is 131002505239. The reversal of 131002505233 is 332505200131.

It can be written as a sum of positive squares in 4 ways, for example, as 13153107969 + 117849397264 = 114687^2 + 343292^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131002505233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131002505198 and 131002505207.

It is not an unprimeable number, because it can be changed into a prime (131002505239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441313 + ... + 675841.

It is an arithmetic number, because the mean of its divisors is an integer number (16645649485).

Almost surely, 2131002505233 is an apocalyptic number.

It is an amenable number.

131002505233 is a deficient number, since it is larger than the sum of its proper divisors (2162690647).

131002505233 is an equidigital number, since it uses as much as digits as its factorization.

131002505233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243747.

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 131002505233 its reverse (332505200131), we get a palindrome (463507705364).

The spelling of 131002505233 in words is "one hundred thirty-one billion, two million, five hundred five thousand, two hundred thirty-three".

Divisors: 1 61 9157 234529 558577 14306269 2147582053 131002505233