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23242121431101 = 3319725125916719
BaseRepresentation
bin1010100100011011110100…
…11001000100100000111101
310001021220222101220212111000
411102031322121010200331
511021244331041243401
6121233141100120513
74616121302340066
oct522157231044075
9101256871825430
1023242121431101
117450a236995a1
12273458b536139
13cc7951867b21
145a4cd346b56d
152a48aa8d3186
hex15237a64483d

23242121431101 has 64 divisors (see below), whose sum is σ = 34764020121600. Its totient is φ = 15346464840000.

The previous prime is 23242121431091. The next prime is 23242121431103. The reversal of 23242121431101 is 10113412124232.

23242121431101 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 2 + 121 + 431 + 101 = 666.

It is not a de Polignac number, because 23242121431101 - 215 = 23242121398333 is a prime.

It is a super-4 number, since 4×232421214311014 (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23242121431103) 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, 3459160420 + ... + 3459167138.

It is an arithmetic number, because the mean of its divisors is an integer number (543187814400).

Almost surely, 223242121431101 is an apocalyptic number.

It is an amenable number.

23242121431101 is a deficient number, since it is larger than the sum of its proper divisors (11521898690499).

23242121431101 is a wasteful number, since it uses less digits than its factorization.

23242121431101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9767 (or 9761 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 23242121431101 its reverse (10113412124232), we get a palindrome (33355533555333).

The spelling of 23242121431101 in words is "twenty-three trillion, two hundred forty-two billion, one hundred twenty-one million, four hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 27 197 251 591 753 1773 2259 2591 5319 6719 6777 7773 20157 23319 49447 60471 69957 148341 181413 445023 510427 650341 1323643 1335069 1531281 1686469 1951023 3970929 4593843 5059407 5853069 11912787 13781529 15178221 17408929 17559207 35738361 45534663 52226787 128117177 156680361 332234393 384351531 470041083 996703179 1153054593 2990109537 3429559013 3459163779 4369641179 8970328611 10288677039 13108923537 30866031117 39326770611 92598093351 117980311833 860819312263 2582457936789 7747373810367 23242121431101