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132421424124231 = 3211337301998963
BaseRepresentation
bin11110000110111111000011…
…111100100001000101000111
3122100212100211201200210011100
4132012333003330201011013
5114324043034033433411
61145345321252311143
736615063223154244
oct3606770374410507
9570770751623140
10132421424124231
1139214679776000
1212a281ab0124b3
1358b7395ba9678
14249b3342c85cb
1510498b9c48456
hex786fc3f21147

132421424124231 has 96 divisors (see below), whose sum is σ = 216148491636480. Its totient is φ = 78059689709760.

The previous prime is 132421424124217. The next prime is 132421424124277.

132421424124231 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 1 + 4 + 2 + 412 + 4 + 231 = 666.

132421424124231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132421424124231 - 231 = 132419276640583 is a prime.

It is a super-2 number, since 2×1324214241242312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132421424124931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1338040756 + ... + 1338139718.

It is an arithmetic number, because the mean of its divisors is an integer number (2251546787880).

Almost surely, 2132421424124231 is an apocalyptic number.

132421424124231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132421424124231 is a deficient number, since it is larger than the sum of its proper divisors (83727067512249).

132421424124231 is a wasteful number, since it uses less digits than its factorization.

132421424124231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102058 (or 102033 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 132421424124231 in words is "one hundred thirty-two trillion, four hundred twenty-one billion, four hundred twenty-four million, one hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 1331 3019 3663 3993 4477 9057 11979 13431 27171 33209 40293 49247 98963 99627 111703 147741 296889 298881 335109 365299 443223 890667 1005327 1088593 1095897 1228733 3265779 3287691 3661631 3686199 4018289 9797337 10984893 11058597 11974523 12054867 13516063 32954679 35923569 36164601 40277941 40548189 107770707 120833823 121644567 131719753 148676693 298769297 362501469 395159259 443057351 446030079 896307891 1185477777 1329172053 1338090237 2688923673 3286462267 3987516159 4873630861 9859386801 11054463989 14620892583 29578160403 33163391967 36151084937 43862677749 99490175901 108453254811 121599103879 325359764433 364797311637 397661934307 1094391934911 1192985802921 1337590142669 3578957408763 4012770428007 12038311284021 14713491569359 44140474708077 132421424124231