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132114034441011 = 3723259420147981
BaseRepresentation
bin11110000010100000110010…
…000101111011101100110011
3122022202222102012202221202010
4132002200302011323230303
5114304024020304103021
61144552203300454003
736553631635026630
oct3602406205735463
9568688365687663
10132114034441011
113910627a266397
12129987029aa303
1358943b910634c
14248a4d398d187
1510418c8948976
hex78283217bb33

132114034441011 has 96 divisors (see below), whose sum is σ = 214072437680640. Its totient is φ = 70969098816000.

The previous prime is 132114034441001. The next prime is 132114034441177. The reversal of 132114034441011 is 110144430411231.

It is not a de Polignac number, because 132114034441011 - 213 = 132114034432819 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132114034441011.

It is not an unprimeable number, because it can be changed into a prime (132114034441001) 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 95 ways as a sum of consecutive naturals, for example, 2753441641 + ... + 2753489621.

It is an arithmetic number, because the mean of its divisors is an integer number (2229921225840).

Almost surely, 2132114034441011 is an apocalyptic number.

132114034441011 is a deficient number, since it is larger than the sum of its proper divisors (81958403239629).

132114034441011 is a wasteful number, since it uses less digits than its factorization.

132114034441011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52297 (or 52274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 132114034441011 its reverse (110144430411231), we get a palindrome (242258464852242).

The spelling of 132114034441011 in words is "one hundred thirty-two trillion, one hundred fourteen billion, thirty-four million, four hundred forty-one thousand, eleven".

Divisors: 1 3 7 21 23 59 69 161 177 413 483 529 1239 1357 1587 3703 4071 4201 9499 11109 12603 28497 29407 31211 47981 88221 93633 96623 143943 218477 247859 289869 335867 655431 676361 743577 1007601 1103563 1735013 2029083 2222329 2830879 3310689 5205039 5700757 6666987 7724941 8492637 15556303 17102271 19816153 23174823 25381949 39905299 46668909 59448459 65110217 76145847 119715897 131117411 177673643 195330651 201568181 393352233 455771519 533020929 604704543 917821877 1367314557 1410977267 1497534991 2753465631 4232931801 4492604973 4636068163 10482744937 11892522679 13908204489 31448234811 32452477141 35677568037 83247658753 97357431423 106629567749 249742976259 273528021617 319888703247 746406974243 820584064851 1914696151319 2239220922729 5744088453957 6291144497191 18873433491573 44038011480337 132114034441011