Search a number
-
+
23332101231201 = 3722937532791007
BaseRepresentation
bin1010100111000011011011…
…00110110001001001100001
310001121112020020210022112220
411103201231212301021201
511024233120403344301
6121342341435341253
74625455135122600
oct523415546611141
9101545206708486
1023332101231201
1174860a7973154
122749b015b1829
1310032914369a9
145a93cb7cba37
152a6dc50be936
hex15386d9b1261

23332101231201 has 96 divisors (see below), whose sum is σ = 39173695165440. Its totient is φ = 12288643121664.

The previous prime is 23332101231191. The next prime is 23332101231239. The reversal of 23332101231201 is 10213210123332.

It is not a de Polignac number, because 23332101231201 - 219 = 23332100706913 is a prime.

It is a super-2 number, since 2×233321012312012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23332101232201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6964240 + ... + 9755246.

It is an arithmetic number, because the mean of its divisors is an integer number (408059324640).

Almost surely, 223332101231201 is an apocalyptic number.

23332101231201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23332101231201 is a deficient number, since it is larger than the sum of its proper divisors (15841593934239).

23332101231201 is a wasteful number, since it uses less digits than its factorization.

23332101231201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791143 (or 2791136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23332101231201 its reverse (10213210123332), we get a palindrome (33545311354533).

The spelling of 23332101231201 in words is "twenty-three trillion, three hundred thirty-two billion, one hundred one million, two hundred thirty-one thousand, two hundred one".

Divisors: 1 3 7 21 29 37 49 53 87 111 147 159 203 259 371 609 777 1073 1113 1421 1537 1813 1961 2597 3219 4263 4611 5439 5883 7511 7791 10759 13727 22533 32277 41181 52577 56869 75313 96089 157731 170607 225939 288267 398083 1194249 2786581 2791007 8359743 8373021 19537049 58611147 80939203 103267259 136759343 147923371 242817609 309801777 410278029 443770113 566574421 722870813 1035463597 1699723263 2168612439 2994750511 3106390791 3966020947 4289777759 5060095691 5473164727 7248245179 8984251533 11898062841 12869333277 15180287073 16419494181 20963253577 21744735537 30028444313 38312153089 62889760731 90085332939 114936459267 146742775039 158721777083 210199110191 268185071623 440228325117 476165331249 630597330573 804555214869 1111052439581 3333157318743 7777367077067 23332101231201