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132113333201220 = 2233571937149333667
BaseRepresentation
bin11110000010100000001000…
…010010111010100101000100
3122022202220121100021021121000
4132002200020102322211010
5114304021101244414340
61144552005530453300
736553605361423020
oct3602401022724504
9568686540237530
10132113333201220
1139105a4a44a578
1212998547b94230
135894306a51867
14248a4687b1380
1510418870cdd30
hex7828084ba944

132113333201220 has 768 divisors, whose sum is σ = 511232762880000. Its totient is φ = 27647917111296.

The previous prime is 132113333201203. The next prime is 132113333201261. The reversal of 132113333201220 is 22102333311231.

132113333201220 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 333 + 320 + 1 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 395776827 + ... + 396110493.

It is an arithmetic number, because the mean of its divisors is an integer number (665667660000).

Almost surely, 2132113333201220 is an apocalyptic number.

132113333201220 is a gapful number since it is divisible by the number (10) 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 132113333201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255616381440000).

132113333201220 is an abundant number, since it is smaller than the sum of its proper divisors (379119429678780).

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

132113333201220 is a wasteful number, since it uses less digits than its factorization.

132113333201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333897 (or 333889 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132113333201220 its reverse (22102333311231), we get a palindrome (154215666512451).

It can be divided in two parts, 132113 and 333201220, that added together give a palindrome (333333333).

The spelling of 132113333201220 in words is "one hundred thirty-two trillion, one hundred thirteen billion, three hundred thirty-three million, two hundred one thousand, two hundred twenty".