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23002130221 = 725346119213
BaseRepresentation
bin10101011011000010…
…001010011100101101
32012101001120021200221
4111123002022130231
5334102021131341
614322251251341
71443004611100
oct253302123455
965331507627
1023002130221
119834114984
12455b449b51
132227656955
141182cc4737
158e95d0ed1
hex55b08a72d

23002130221 has 24 divisors (see below), whose sum is σ = 27322999704. Its totient is φ = 19301143680.

The previous prime is 23002130213. The next prime is 23002130233. The reversal of 23002130221 is 12203120032.

It can be written as a sum of positive squares in 4 ways, for example, as 9866448900 + 13135681321 = 99330^2 + 114611^2 .

It is not a de Polignac number, because 23002130221 - 23 = 23002130213 is a prime.

23002130221 is a modest number, since divided by 130221 gives 23002 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 23002130195 and 23002130204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002130251) 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, 1187611 + ... + 1206823.

It is an arithmetic number, because the mean of its divisors is an integer number (1138458321).

Almost surely, 223002130221 is an apocalyptic number.

It is an amenable number.

23002130221 is a deficient number, since it is larger than the sum of its proper divisors (4320869483).

23002130221 is a wasteful number, since it uses less digits than its factorization.

23002130221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19741 (or 19734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23002130221 its reverse (12203120032), we get a palindrome (35205250253).

The spelling of 23002130221 in words is "twenty-three billion, two million, one hundred thirty thousand, two hundred twenty-one".

Divisors: 1 7 49 53 371 461 2597 3227 19213 22589 24433 134491 171031 941437 1018289 1197217 7128023 8857193 49896161 62000351 434002457 469431229 3286018603 23002130221