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132223231122032 = 243715118160713463
BaseRepresentation
bin11110000100000110011110…
…101110001101101001110000
3122100011102021022121002122102
4132010012132232031221300
5114312321134131401112
61145114302552355532
736564545633351351
oct3604063656155160
9570142238532572
10132223231122032
1139148614a09016
12129b58b86a5ba8
1358a179c05a77b
1424918d21c1d28
15104466a260bc2
hex78419eb8da70

132223231122032 has 160 divisors (see below), whose sum is σ = 266770589589504. Its totient is φ = 63436390272000.

The previous prime is 132223231121999. The next prime is 132223231122079. The reversal of 132223231122032 is 230221132322231.

It is a super-3 number, since 3×1322232311220323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132223231121986 and 132223231122004.

It is a congruent number.

It is an unprimeable number.

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, 9821224133 + ... + 9821237595.

Almost surely, 2132223231122032 is an apocalyptic number.

It is an amenable number.

132223231122032 is an abundant number, since it is smaller than the sum of its proper divisors (134547358467472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132223231122032 is a wasteful number, since it uses less digits than its factorization.

132223231122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14441 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 132223231122032 its reverse (230221132322231), we get a palindrome (362444363444263).

The spelling of 132223231122032 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, two hundred thirty-one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 37 74 148 151 181 296 302 362 592 604 607 724 1208 1214 1448 2416 2428 2896 4856 5587 6697 9712 11174 13394 13463 22348 22459 26788 26926 27331 44696 44918 53576 53852 54662 89392 89836 91657 107152 107704 109324 109867 179672 183314 215408 218648 219734 359344 366628 437296 439468 498131 733256 878936 996262 1011247 1466512 1757872 1992524 2022494 2032913 2436803 3391309 3985048 4044988 4065079 4065826 4873606 6782618 7970096 8089976 8130158 8131652 8172041 9747212 13565236 16179952 16260316 16263304 16344082 16589917 19494424 27130472 32520632 32526608 32688164 33179834 38988848 54260944 65041264 65376328 66359668 75217781 90161711 130752656 132719336 150435562 180323422 265438672 300871124 302365517 360646844 367957253 601742248 604731034 613826929 721293688 735914506 1203484496 1209462068 1227653858 1233978191 1442587376 1471829012 1479139421 2418924136 2455307716 2467956382 2943658024 2958278842 4837848272 4910615432 4935912764 5887316048 5916557684 9821230864 9871825528 11833115368 13614418361 19743651056 23666230736 27228836722 45657193067 54457673444 54728158577 91314386134 108915346888 109456317154 182628772268 217830693776 218912634308 223350052571 365257544536 437825268616 446700105142 730515089072 875650537232 893400210284 1786800420568 3573600841136 8263951945127 16527903890254 33055807780508 66111615561016 132223231122032