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132420314020041 = 32172929844560293
BaseRepresentation
bin11110000110111110000001…
…110001110011100011001001
3122100212020222100211122111100
4132012332001301303203021
5114324033300342120131
61145345015155052013
736615023553346005
oct3606760161634311
9570766870748440
10132420314020041
113921415a08a323
1212a27b3b2a1009
1358b7249bcb898
14249b26aab9705
1510498525687e6
hex786f81c738c9

132420314020041 has 24 divisors (see below), whose sum is σ = 209508813263880. Its totient is φ = 80222178064896.

The previous prime is 132420314020013. The next prime is 132420314020079. The reversal of 132420314020041 is 140020413024231.

132420314020041 is a `hidden beast` number, since 1 + 3 + 2 + 420 + 31 + 4 + 0 + 200 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4961181571641 + 127459132448400 = 2227371^2 + 11289780^2 .

It is not a de Polignac number, because 132420314020041 - 221 = 132420311922889 is a prime.

It is a super-2 number, since 2×1324203140200412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132420314019987 and 132420314020014.

It is not an unprimeable number, because it can be changed into a prime (132420314020081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14922275710 + ... + 14922284583.

It is an arithmetic number, because the mean of its divisors is an integer number (8729533885995).

Almost surely, 2132420314020041 is an apocalyptic number.

It is an amenable number.

132420314020041 is a deficient number, since it is larger than the sum of its proper divisors (77088499243839).

132420314020041 is a wasteful number, since it uses less digits than its factorization.

132420314020041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29844560345 (or 29844560342 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132420314020041 its reverse (140020413024231), we get a palindrome (272440727044272).

The spelling of 132420314020041 in words is "one hundred thirty-two trillion, four hundred twenty billion, three hundred fourteen million, twenty thousand, forty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 29844560293 89533680879 268601042637 507357524981 865492248497 1522072574943 2596476745491 4566217724829 7789430236473 14713368224449 44140104673347 132420314020041