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132221121021 = 321161162713457
BaseRepresentation
bin111101100100011111…
…1100011000111111101
3110122021201100212212100
41323020333203013331
54131242101333041
6140424101255313
712360363661563
oct1731077430775
9418251325770
10132221121021
1151090415240
1221760704539
13c6120bc922
146584483a33
15368cd536b6
hex1ec8fe31fd

132221121021 has 48 divisors (see below), whose sum is σ = 211909883328. Its totient is φ = 78766041600.

The previous prime is 132221121001. The next prime is 132221121023. The reversal of 132221121021 is 120121122231.

It is not a de Polignac number, because 132221121021 - 29 = 132221120509 is a prime.

It is a super-3 number, since 3×1322211210213 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132221120985 and 132221121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221121023) 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, 9818725 + ... + 9832181.

It is an arithmetic number, because the mean of its divisors is an integer number (4414789236).

Almost surely, 2132221121021 is an apocalyptic number.

132221121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132221121021 is a deficient number, since it is larger than the sum of its proper divisors (79688762307).

132221121021 is a wasteful number, since it uses less digits than its factorization.

132221121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162 (or 15159 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132221121021 its reverse (120121122231), we get a palindrome (252342243252).

The spelling of 132221121021 in words is "one hundred thirty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 33 61 99 183 549 671 1627 2013 4881 6039 13457 14643 17897 40371 53691 99247 121113 148027 161073 297741 444081 820877 893223 1091717 1332243 2462631 3275151 7387893 9029647 9825453 21894539 27088941 65683617 81266823 197050851 240839929 722519787 1335566879 2167559361 4006700637 12020101911 14691235669 44073707007 132221121021