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132401022242412 = 2237118919127730431
BaseRepresentation
bin11110000110101100000011…
…111001100000111001101100
3122100210102011212221210200210
4132012230003321200321230
5114323224243143224122
61145332105005222420
736613441521060240
oct3606540371407154
9570712155853623
10132401022242412
1139206a5a406250
1212a24256561a10
1358b5494181a51
14249a35a8ac420
1510490c3a9640c
hex786b03e60e6c

132401022242412 has 384 divisors, whose sum is σ = 392959953469440. Its totient is φ = 33702223104000.

The previous prime is 132401022242383. The next prime is 132401022242429. The reversal of 132401022242412 is 214242220104231.

It is a self number, because there is not a number n which added to its sum of digits gives 132401022242412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4350844837 + ... + 4350875267.

It is an arithmetic number, because the mean of its divisors is an integer number (1023333212160).

Almost surely, 2132401022242412 is an apocalyptic number.

132401022242412 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 132401022242412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196479976734720).

132401022242412 is an abundant number, since it is smaller than the sum of its proper divisors (260558931227028).

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

132401022242412 is a wasteful number, since it uses less digits than its factorization.

132401022242412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31013 (or 31011 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 132401022242412 its reverse (214242220104231), we get a palindrome (346643242346643).

The spelling of 132401022242412 in words is "one hundred thirty-two trillion, four hundred one billion, twenty-two million, two hundred forty-two thousand, four hundred twelve".