Search a number
-
+
105329171490 = 23523315068551
BaseRepresentation
bin110001000011000011…
…0111001110000100010
3101001212120102022012120
41202012012321300202
53211203231441430
6120215413405110
710416104120424
oct1420606716042
9331776368176
10105329171490
1140740631564
12184b6639796
139c17910c5a
145152b2a814
152b17013610
hex18861b9c22

105329171490 has 32 divisors (see below), whose sum is σ = 253874964096. Its totient is φ = 27967228800.

The previous prime is 105329171461. The next prime is 105329171501. The reversal of 105329171490 is 94171923501.

105329171490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053291714902 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7527286 + ... + 7541265.

It is an arithmetic number, because the mean of its divisors is an integer number (7933592628).

Almost surely, 2105329171490 is an apocalyptic number.

105329171490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105329171490 is an abundant number, since it is smaller than the sum of its proper divisors (148545792606).

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

105329171490 is a wasteful number, since it uses less digits than its factorization.

105329171490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15068794.

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 105329171490 in words is "one hundred five billion, three hundred twenty-nine million, one hundred seventy-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 233 466 699 1165 1398 2330 3495 6990 15068551 30137102 45205653 75342755 90411306 150685510 226028265 452056530 3510972383 7021944766 10532917149 17554861915 21065834298 35109723830 52664585745 105329171490