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12234311232561 = 3311389201752501
BaseRepresentation
bin1011001000001000010111…
…0001100110110000110001
31121022120220011222222221000
42302002011301212300301
53100421332133420221
642004210500552213
72401620431433345
oct262020561466061
947276804888830
1012234311232561
1139975a6819950
1214571120b2669
136a98c9326c22
14304202917625
15163398720e26
hexb2085c66c31

12234311232561 has 64 divisors (see below), whose sum is σ = 19833659539200. Its totient is φ = 7391865600000.

The previous prime is 12234311232551. The next prime is 12234311232569. The reversal of 12234311232561 is 16523211343221.

12234311232561 is a `hidden beast` number, since 1 + 2 + 2 + 34 + 31 + 1 + 2 + 32 + 561 = 666.

It is not a de Polignac number, because 12234311232561 - 215 = 12234311199793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12234311232569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233003811 + ... + 233056311.

It is an arithmetic number, because the mean of its divisors is an integer number (309900930300).

Almost surely, 212234311232561 is an apocalyptic number.

12234311232561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12234311232561 is a deficient number, since it is larger than the sum of its proper divisors (7599348306639).

12234311232561 is a wasteful number, since it uses less digits than its factorization.

12234311232561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54927 (or 54921 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 12234311232561 its reverse (16523211343221), we get a palindrome (28757522575782).

The spelling of 12234311232561 in words is "twelve trillion, two hundred thirty-four billion, three hundred eleven million, two hundred thirty-two thousand, five hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 297 389 1167 2017 3501 4279 6051 10503 12837 18153 22187 38511 52501 54459 66561 115533 157503 199683 472509 577511 599049 784613 1417527 1732533 2353839 5197599 7061517 8630743 15592797 20422889 21184551 25892229 61268667 77676687 105894517 183806001 224651779 233030061 317683551 551418003 673955337 953050653 1164839687 2021866011 2859151959 3494519061 6065598033 10483557183 31450671549 41192967113 123578901339 370736704017 453122638243 1112210112051 1359367914729 4078103744187 12234311232561