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23120046306 = 2327677934667
BaseRepresentation
bin10101100010000011…
…111110100011100010
32012200021110001011100
4111202003332203202
5334322212440211
614342102455230
71445636102550
oct254203764342
965607401140
1023120046306
119894732a95
124592a34516
132245c01196
14119481abd0
15904b24156
hex5620fe8e2

23120046306 has 96 divisors (see below), whose sum is σ = 58841303040. Its totient is φ = 6424580448.

The previous prime is 23120046259. The next prime is 23120046319. The reversal of 23120046306 is 60364002132.

23120046306 is a `hidden beast` number, since 2 + 3 + 1 + 20 + 0 + 4 + 630 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23120046306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649585 + ... + 684251.

It is an arithmetic number, because the mean of its divisors is an integer number (612930240).

Almost surely, 223120046306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120046306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29420651520).

23120046306 is an abundant number, since it is smaller than the sum of its proper divisors (35721256734).

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

23120046306 is a wasteful number, since it uses less digits than its factorization.

23120046306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34828 (or 34825 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23120046306 its reverse (60364002132), we get a palindrome (83484048438).

The spelling of 23120046306 in words is "twenty-three billion, one hundred twenty million, forty-six thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 79 126 134 158 201 237 402 469 474 553 603 711 938 1106 1206 1407 1422 1659 2814 3318 4221 4977 5293 8442 9954 10586 15879 31758 34667 37051 47637 69334 74102 95274 104001 111153 208002 222306 242669 312003 333459 485338 624006 666918 728007 1456014 2184021 2322689 2738693 4368042 4645378 5477386 6968067 8216079 13936134 16258823 16432158 19170851 20904201 24648237 32517646 38341702 41808402 48776469 49296474 57512553 97552938 115025106 146329407 172537659 183492431 292658814 345075318 366984862 550477293 1100954586 1284447017 1651431879 2568894034 3302863758 3853341051 7706682102 11560023153 23120046306