Search a number
-
+
17106319120 = 2451119438999
BaseRepresentation
bin11111110111001110…
…11011011100010000
31122011011120001022211
433323213123130100
5240013204202440
611505235441504
71143624212332
oct177347333420
948134501284
1017106319120
117289086820
123394a56294
1317c803a227
14b83c77452
156a1bc8eea
hex3fb9db710

17106319120 has 40 divisors (see below), whose sum is σ = 43387848000. Its totient is φ = 6220479360.

The previous prime is 17106319081. The next prime is 17106319129. The reversal of 17106319120 is 2191360171.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (17106319129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9718620 + ... + 9720379.

It is an arithmetic number, because the mean of its divisors is an integer number (1084696200).

Almost surely, 217106319120 is an apocalyptic number.

17106319120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17106319120 is an abundant number, since it is smaller than the sum of its proper divisors (26281528880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17106319120 is a wasteful number, since it uses less digits than its factorization.

17106319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19439023 (or 19439017 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

Adding to 17106319120 its reverse (2191360171), we get a palindrome (19297679291).

The spelling of 17106319120 in words is "seventeen billion, one hundred six million, three hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 19438999 38877998 77755996 97194995 155511992 194389990 213828989 311023984 388779980 427657978 777559960 855315956 1069144945 1555119920 1710631912 2138289890 3421263824 4276579780 8553159560 17106319120