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233130001221 = 32132837702349
BaseRepresentation
bin1101100100011110100…
…0011000001101000101
3211021202020020010100200
43121013220120031011
512304422240014341
6255033133001113
722562115212565
oct3310750301505
9737666203320
10233130001221
118a9628984a7
1239222923199
1318ca3cb49b0
14b3d80d2da5
1560e6c70db6
hex3647a18345

233130001221 has 24 divisors (see below), whose sum is σ = 362775012600. Its totient is φ = 143413842816.

The previous prime is 233130001213. The next prime is 233130001229. The reversal of 233130001221 is 122100031332.

233130001221 is a `hidden beast` number, since 2 + 331 + 300 + 0 + 12 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (233130001213) and next prime (233130001229).

It can be written as a sum of positive squares in 4 ways, for example, as 17356745025 + 215773256196 = 131745^2 + 464514^2 .

It is not a de Polignac number, because 233130001221 - 23 = 233130001213 is a prime.

It is a super-2 number, since 2×2331300012212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233130001194 and 233130001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233130001229) 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, 19246 + ... + 683103.

It is an arithmetic number, because the mean of its divisors is an integer number (15115625525).

Almost surely, 2233130001221 is an apocalyptic number.

It is an amenable number.

233130001221 is a deficient number, since it is larger than the sum of its proper divisors (129645011379).

233130001221 is a wasteful number, since it uses less digits than its factorization.

233130001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705205 (or 705202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233130001221 its reverse (122100031332), we get a palindrome (355230032553).

The spelling of 233130001221 in words is "two hundred thirty-three billion, one hundred thirty million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 2837 8511 25533 36881 110643 331929 702349 2107047 6321141 9130537 27391611 82174833 1992564113 5977692339 17933077017 25903333469 77710000407 233130001221