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131212011132 = 22351729833299
BaseRepresentation
bin111101000110011011…
…0000110011001111100
3110112200101112210100000
41322030312012121330
54122210233324012
6140140012434300
712323361456336
oct1721466063174
9415611483300
10131212011132
115071283a024
122151a778990
13c4b1013097
1464ca444456
15362e472ddc
hex1e8cd8667c

131212011132 has 288 divisors, whose sum is σ = 381405024000. Its totient is φ = 39254326272.

The previous prime is 131212011131. The next prime is 131212011157. The reversal of 131212011132 is 231110212131.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 39771619 + ... + 39774917.

It is an arithmetic number, because the mean of its divisors is an integer number (1324323000).

Almost surely, 2131212011132 is an apocalyptic number.

131212011132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702512000).

131212011132 is an abundant number, since it is smaller than the sum of its proper divisors (250193012868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131212011132 is a wasteful number, since it uses less digits than its factorization.

131212011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131212011132 its reverse (231110212131), we get a palindrome (362322223263).

The spelling of 131212011132 in words is "one hundred thirty-one billion, two hundred twelve million, eleven thousand, one hundred thirty-two".