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132223033020221 = 11133766533756227
BaseRepresentation
bin11110000100000110010010…
…111010100000111100111101
3122100011101202111211111001022
4132010012102322200330331
5114312320232423121341
61145114231154353525
736564541006461143
oct3604062272407475
9570141674744038
10132223033020221
1139148523102210
12129b586228b8a5
1358a1769cb9470
1424918b3b75593
151044657b7de4b
hex784192ea0f3d

132223033020221 has 32 divisors (see below), whose sum is σ = 159561320059008. Its totient is φ = 107941314320640.

The previous prime is 132223033020217. The next prime is 132223033020233. The reversal of 132223033020221 is 122020330322231.

It is a cyclic number.

It is not a de Polignac number, because 132223033020221 - 22 = 132223033020217 is a prime.

It is a super-2 number, since 2×1322230330202212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223033022221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33322910 + ... + 37079136.

It is an arithmetic number, because the mean of its divisors is an integer number (4986291251844).

Almost surely, 2132223033020221 is an apocalyptic number.

132223033020221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132223033020221 is a deficient number, since it is larger than the sum of its proper divisors (27338287038787).

132223033020221 is a wasteful number, since it uses less digits than its factorization.

132223033020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762941.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 132223033020221 its reverse (122020330322231), we get a palindrome (254243363342452).

The spelling of 132223033020221 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, thirty-three million, twenty thousand, two hundred twenty-one".

Divisors: 1 11 13 37 143 407 481 5291 6653 73183 86489 246161 951379 2707771 3200093 3756227 35201023 41318497 48830951 138980399 537140461 1528784389 1806745187 19874197057 24990178231 274891960541 324872317003 924636594547 3573595487033 10171002540017 12020275729111 132223033020221