Search a number
-
+
233100021 = 371197101103
BaseRepresentation
bin11011110010011…
…01001011110101
3121020121201010010
431321031023311
5434133200041
635044050433
75530213620
oct1571151365
9536551103
10233100021
1110a640550
1266093a19
13393a630b
1422d5adb7
15156e6a16
hexde4d2f5

233100021 has 64 divisors (see below), whose sum is σ = 399200256. Its totient is φ = 117504000.

The previous prime is 233100017. The next prime is 233100031. The reversal of 233100021 is 120001332.

It is a happy number.

It is not a de Polignac number, because 233100021 - 22 = 233100017 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233100001) 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 63 ways as a sum of consecutive naturals, for example, 2263056 + ... + 2263158.

It is an arithmetic number, because the mean of its divisors is an integer number (6237504).

Almost surely, 2233100021 is an apocalyptic number.

233100021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233100021 is a deficient number, since it is larger than the sum of its proper divisors (166100235).

233100021 is a wasteful number, since it uses less digits than its factorization.

233100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 233100021 is about 15267.6134677297. The cubic root of 233100021 is about 615.4329874384.

Adding to 233100021 its reverse (120001332), we get a palindrome (353101353).

The spelling of 233100021 in words is "two hundred thirty-three million, one hundred thousand, twenty-one".

Divisors: 1 3 7 11 21 33 77 97 101 103 231 291 303 309 679 707 721 1067 1111 1133 2037 2121 2163 3201 3333 3399 7469 7777 7931 9797 9991 10403 22407 23331 23793 29391 29973 31209 68579 69937 72821 107767 109901 114433 205737 209811 218463 323301 329703 343299 754369 769307 801031 1009091 2263107 2307921 2403093 3027273 7063637 11100001 21190911 33300003 77700007 233100021