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131202123101 = 722677594349
BaseRepresentation
bin111101000110001000…
…0011000010101011101
3110112122200221102111122
41322030100120111131
54122200220414401
6140135020500325
712323211434300
oct1721420302535
9415580842448
10131202123101
11507081a5aa5
12215173aa6a5
13c4abc6048a
1464c8dccb37
15362d66d21b
hex1e8c41855d

131202123101 has 6 divisors (see below), whose sum is σ = 152622877950. Its totient is φ = 112458962616.

The previous prime is 131202123071. The next prime is 131202123131. The reversal of 131202123101 is 101321202131.

It is an interprime number because it is at equal distance from previous prime (131202123071) and next prime (131202123131).

It can be written as a sum of positive squares in only one way, i.e., 130288512025 + 913611076 = 360955^2 + 30226^2 .

It is not a de Polignac number, because 131202123101 - 26 = 131202123037 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 131202123101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131202123131) 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 5 ways as a sum of consecutive naturals, for example, 1338797126 + ... + 1338797223.

It is an arithmetic number, because the mean of its divisors is an integer number (25437146325).

Almost surely, 2131202123101 is an apocalyptic number.

It is an amenable number.

131202123101 is a deficient number, since it is larger than the sum of its proper divisors (21420754849).

131202123101 is an equidigital number, since it uses as much as digits as its factorization.

131202123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677594363 (or 2677594356 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131202123101 its reverse (101321202131), we get a palindrome (232523325232).

The spelling of 131202123101 in words is "one hundred thirty-one billion, two hundred two million, one hundred twenty-three thousand, one hundred one".

Divisors: 1 7 49 2677594349 18743160443 131202123101