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23133333105 = 34557119341
BaseRepresentation
bin10101100010110110…
…101010011001110001
32012201012110002020000
4111202312222121301
5334334113124410
614343255340213
71446160041561
oct254266523161
965635402200
1023133333105
1198a1188613
124597381669
1322488a3aac
1411964b8da1
15905d9adc0
hex562daa671

23133333105 has 20 divisors (see below), whose sum is σ = 41468642292. Its totient is φ = 12337777440.

The previous prime is 23133333077. The next prime is 23133333121. The reversal of 23133333105 is 50133333132.

23133333105 is a `hidden beast` number, since 2 + 3 + 13 + 333 + 310 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15704099856 + 7429233249 = 125316^2 + 86193^2 .

It is not a de Polignac number, because 23133333105 - 25 = 23133333073 is a prime.

It is a super-2 number, since 2×231333331052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28559266 + ... + 28560075.

Almost surely, 223133333105 is an apocalyptic number.

It is an amenable number.

23133333105 is a deficient number, since it is larger than the sum of its proper divisors (18335309187).

23133333105 is an equidigital number, since it uses as much as digits as its factorization.

23133333105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57119358 (or 57119349 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

Adding to 23133333105 its sum of digits (27), we get a palindrome (23133333132).

Adding to 23133333105 its reverse (50133333132), we get a palindrome (73266666237).

The spelling of 23133333105 in words is "twenty-three billion, one hundred thirty-three million, three hundred thirty-three thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 57119341 171358023 285596705 514074069 856790115 1542222207 2570370345 4626666621 7711111035 23133333105