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132312111132201 = 371113374129044151
BaseRepresentation
bin11110000101011001010000…
…011000100010111000101001
3122100110220200112000102112220
4132011121100120202320221
5114320300200422212301
61145223202243424253
736604143313104420
oct3605312030427051
9570426615012486
10132312111132201
1139182284401180
1212a0ab82385089
1358a9c94b20470
142495d2445a2b7
151046b1d108936
hex785650622e29

132312111132201 has 128 divisors (see below), whose sum is σ = 249201612398592. Its totient is φ = 60225949440000.

The previous prime is 132312111132191. The next prime is 132312111132217. The reversal of 132312111132201 is 102231111213231.

It is not a de Polignac number, because 132312111132201 - 211 = 132312111130153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132312111132251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9966525 + ... + 19077626.

It is an arithmetic number, because the mean of its divisors is an integer number (1946887596864).

Almost surely, 2132312111132201 is an apocalyptic number.

132312111132201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132312111132201 is a deficient number, since it is larger than the sum of its proper divisors (116889501266391).

132312111132201 is a wasteful number, since it uses less digits than its factorization.

132312111132201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29044263.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 132312111132201 its reverse (102231111213231), we get a palindrome (234543222345432).

The spelling of 132312111132201 in words is "one hundred thirty-two trillion, three hundred twelve billion, one hundred eleven million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 41 77 91 111 123 143 231 259 273 287 407 429 451 481 533 777 861 1001 1221 1353 1443 1517 1599 2849 3003 3157 3367 3731 4551 5291 5863 8547 9471 10101 10619 11193 15873 16687 17589 19721 31857 37037 41041 50061 59163 111111 116809 123123 138047 216931 350427 414141 650793 1518517 4555551 29044151 87132453 203309057 319485661 377573963 609927171 958456983 1074633587 1132721889 1190810191 2236399627 2643017741 3223900761 3572430573 4153313593 6709198881 7522435109 7929053223 8335671337 11820969457 12459940779 13098912101 13970236631 15480532483 22567305327 25007014011 29073195151 35462908371 39296736303 41910709893 44059977067 46441597449 82746786199 87219585453 91692384707 97791656417 108363727381 132179931201 153672602941 170285857313 248240358597 275077154121 293374969251 308419839469 325091182143 461017808823 484659747737 510857571939 572779701871 925259518407 1075708220587 1192001001191 1453979243211 1718339105613 3227124661761 3392618234159 3576003003573 4009457913097 6300576720581 10177854702477 12028373739291 18901730161743 44104037044067 132312111132201