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131002323101 = 1314097151953
BaseRepresentation
bin111101000000001011…
…0001101000010011101
3110112010202222112102122
41322000112031002131
54121243043314401
6140103122232325
712315234242066
oct1720026150235
9415122875378
10131002323101
115061543a331
12214804b56a5
13c479746220
1464aa65d56d
15361ad5321b
hex1e8058d09d

131002323101 has 8 divisors (see below), whose sum is σ = 141179571960. Its totient is φ = 120839380992.

The previous prime is 131002323047. The next prime is 131002323107. The reversal of 131002323101 is 101323200131.

It can be written as a sum of positive squares in 4 ways, for example, as 14807239225 + 116195083876 = 121685^2 + 340874^2 .

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 131002323101 - 222 = 130998128797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131002323101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002323107) 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, 3557660 + ... + 3594293.

It is an arithmetic number, because the mean of its divisors is an integer number (17647446495).

Almost surely, 2131002323101 is an apocalyptic number.

It is an amenable number.

131002323101 is a deficient number, since it is larger than the sum of its proper divisors (10177248859).

131002323101 is a wasteful number, since it uses less digits than its factorization.

131002323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153375.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131002323101 its reverse (101323200131), we get a palindrome (232325523232).

The spelling of 131002323101 in words is "one hundred thirty-one billion, two million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 13 1409 18317 7151953 92975389 10077101777 131002323101