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23103320193 = 32113181125509
BaseRepresentation
bin10101100001000100…
…001011000010000001
32012122002222021020200
4111201010023002001
5334303422221233
614340304155413
71445343660432
oct254104130201
965562867220
1023103320193
119886249458
124589308b69
1322425c5c85
141192505489
1590341d313
hex56110b081

23103320193 has 24 divisors (see below), whose sum is σ = 33853059240. Its totient is φ = 15181447680.

The previous prime is 23103320179. The next prime is 23103320197. The reversal of 23103320193 is 39102330132.

23103320193 is a `hidden beast` number, since 2 + 310 + 332 + 0 + 19 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27279729 + 23076040464 = 5223^2 + 151908^2 .

It is not a de Polignac number, because 23103320193 - 26 = 23103320129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23103320197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121323 + ... + 246831.

It is an arithmetic number, because the mean of its divisors is an integer number (1410544135).

Almost surely, 223103320193 is an apocalyptic number.

It is an amenable number.

23103320193 is a deficient number, since it is larger than the sum of its proper divisors (10749739047).

23103320193 is a wasteful number, since it uses less digits than its factorization.

23103320193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125809 (or 125806 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 23103320193 in words is "twenty-three billion, one hundred three million, three hundred twenty thousand, one hundred ninety-three".

Divisors: 1 3 9 113 181 339 543 1017 1629 20453 61359 125509 184077 376527 1129581 14182517 22717129 42547551 68151387 127642653 204454161 2567035577 7701106731 23103320193