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131212011101 = 2293383314929
BaseRepresentation
bin111101000110011011…
…0000110011001011101
3110112200101112210021212
41322030312012121131
54122210233323401
6140140012434205
712323361456263
oct1721466063135
9415611483255
10131212011101
1150712839aa6
122151a778965
13c4b1013072
1464ca444433
15362e472dbb
hex1e8cd8665d

131212011101 has 8 divisors (see below), whose sum is σ = 131312276280. Its totient is φ = 131111788032.

The previous prime is 131212011083. The next prime is 131212011131. The reversal of 131212011101 is 101110212131.

It can be written as a sum of positive squares in 4 ways, for example, as 14364262201 + 116847748900 = 119851^2 + 341830^2 .

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 131212011101 - 214 = 131211994717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212011131) 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, 8781605 + ... + 8796533.

It is an arithmetic number, because the mean of its divisors is an integer number (16414034535).

Almost surely, 2131212011101 is an apocalyptic number.

It is an amenable number.

131212011101 is a deficient number, since it is larger than the sum of its proper divisors (100265179).

131212011101 is a wasteful number, since it uses less digits than its factorization.

131212011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21055.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 131212011101 its reverse (101110212131), we get a palindrome (232322223232).

The spelling of 131212011101 in words is "one hundred thirty-one billion, two hundred twelve million, eleven thousand, one hundred one".

Divisors: 1 2293 3833 14929 8789069 34232197 57222857 131212011101