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233121001001 = 72173270710159
BaseRepresentation
bin1101100100011100011…
…0000010111000101001
3211021201121021212101012
43121013012002320221
512304412434013001
6255032212033305
722561645546100
oct3310706027051
9737647255335
10233121001001
118a9588004a9
123921b902835
1318ca2183215
14b3d6c2d037
1560e60942bb
hex3647182e29

233121001001 has 24 divisors (see below), whose sum is σ = 272876711040. Its totient is φ = 198570046752.

The previous prime is 233121000977. The next prime is 233121001027. The reversal of 233121001001 is 100100121332.

It is not a de Polignac number, because 233121001001 - 214 = 233120984617 is a prime.

It is a super-2 number, since 2×2331210010012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233121001801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22942160 + ... + 22952318.

It is an arithmetic number, because the mean of its divisors is an integer number (11369862960).

Almost surely, 2233121001001 is an apocalyptic number.

It is an amenable number.

233121001001 is a deficient number, since it is larger than the sum of its proper divisors (39755710039).

233121001001 is a wasteful number, since it uses less digits than its factorization.

233121001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053 (or 13046 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 233121001001 its reverse (100100121332), we get a palindrome (333221122333).

The spelling of 233121001001 in words is "two hundred thirty-three billion, one hundred twenty-one million, one thousand, one".

Divisors: 1 7 49 173 1211 2707 8477 10159 18949 71113 132643 468311 497791 1757507 3278177 12302549 22947239 27500413 86117843 192502891 1347520237 4757571449 33303000143 233121001001