Search a number
-
+
23055105105 = 3254334133491
BaseRepresentation
bin10101011110001100…
…001111110001010001
32012111202020200120200
4111132030033301101
5334204101330410
614331422525413
71444220105604
oct253614176121
965452220520
1023055105105
11986100777a
124575136869
132235614136
141189d5433b
158ee0973c0
hex55e30fc51

23055105105 has 48 divisors (see below), whose sum is σ = 40915233216. Its totient is φ = 12003143040.

The previous prime is 23055105091. The next prime is 23055105107. The reversal of 23055105105 is 50150155032.

23055105105 is a `hidden beast` number, since 2 + 3 + 0 + 551 + 0 + 5 + 105 = 666.

It is not a de Polignac number, because 23055105105 - 24 = 23055105089 is a prime.

It is a super-2 number, since 2×230551051052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23055105107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6602410 + ... + 6605900.

It is an arithmetic number, because the mean of its divisors is an integer number (852400692).

Almost surely, 223055105105 is an apocalyptic number.

It is an amenable number.

23055105105 is a deficient number, since it is larger than the sum of its proper divisors (17860128111).

23055105105 is a wasteful number, since it uses less digits than its factorization.

23055105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 23055105105 in words is "twenty-three billion, fifty-five million, one hundred five thousand, one hundred five".

Divisors: 1 3 5 9 15 43 45 129 215 387 645 1935 3413 3491 10239 10473 17065 17455 30717 31419 51195 52365 146759 150113 153585 157095 440277 450339 733795 750565 1320831 1351017 2201385 2251695 6604155 6755085 11914783 35744349 59573915 107233047 178721745 512335669 536165235 1537007007 2561678345 4611021021 7685035035 23055105105