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231002321 = 11434710391
BaseRepresentation
bin11011100010011…
…01000011010001
3121002200010121112
431301031003101
5433114033241
634531103105
75503326104
oct1561150321
9532603545
10231002321
11109438510
1265441a95
1338b20584
142297273b
15154301eb
hexdc4d0d1

231002321 has 16 divisors (see below), whose sum is σ = 263374848. Its totient is φ = 200734800.

The previous prime is 231002281. The next prime is 231002329. The reversal of 231002321 is 123200132.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231002321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231002296 and 231002305.

It is not an unprimeable number, because it can be changed into a prime (231002329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17036 + ... + 27426.

It is an arithmetic number, because the mean of its divisors is an integer number (16460928).

Almost surely, 2231002321 is an apocalyptic number.

It is an amenable number.

231002321 is a deficient number, since it is larger than the sum of its proper divisors (32372527).

231002321 is a wasteful number, since it uses less digits than its factorization.

231002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 231002321 is about 15198.7605086731. The cubic root of 231002321 is about 613.5812989628.

Adding to 231002321 its reverse (123200132), we get a palindrome (354202453).

The spelling of 231002321 in words is "two hundred thirty-one million, two thousand, three hundred twenty-one".

Divisors: 1 11 43 47 473 517 2021 10391 22231 114301 446813 488377 4914943 5372147 21000211 231002321