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132131011221 = 321119750313469
BaseRepresentation
bin111101100001110011…
…1110011101010010101
3110122001102210211110100
41323003213303222111
54131101014324341
6140411122044313
712355221031026
oct1730347635225
9418042724410
10132131011221
1151044569430
12217364a9699
13c5c952ca11
146576508c4d
153684ea43b6
hex1ec39f3a95

132131011221 has 48 divisors (see below), whose sum is σ = 209694925440. Its totient is φ = 79508607360.

The previous prime is 132131011219. The next prime is 132131011223. The reversal of 132131011221 is 122110131231.

132131011221 is a `hidden beast` number, since 1 + 321 + 310 + 1 + 12 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (132131011219) and next prime (132131011223).

It is not a de Polignac number, because 132131011221 - 21 = 132131011219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132131011194 and 132131011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131011223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9803275 + ... + 9816743.

It is an arithmetic number, because the mean of its divisors is an integer number (4368644280).

Almost surely, 2132131011221 is an apocalyptic number.

132131011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132131011221 is a deficient number, since it is larger than the sum of its proper divisors (77563914219).

132131011221 is a wasteful number, since it uses less digits than its factorization.

132131011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14186 (or 14183 counting only the distinct ones).

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

Adding to 132131011221 its reverse (122110131231), we get a palindrome (254241142452).

The spelling of 132131011221 in words is "one hundred thirty-two billion, one hundred thirty-one million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 197 503 591 1509 1773 2167 4527 5533 6501 13469 16599 19503 40407 49797 99091 121221 148159 297273 444477 891819 1090001 1333431 2653393 3270003 6774907 7960179 9810009 20324721 23880537 29187323 60974163 74523977 87561969 223571931 262685907 670715793 1334656679 4003970037 12011910111 14681223469 44043670407 132131011221