Search a number
-
+
2302337128312 = 2313101371958937
BaseRepresentation
bin100001100000001101111…
…111001001011101111000
322011002201211111022001001
4201200031333021131320
5300210141301101222
64521402402534344
7325224026456524
oct41401577113570
98132654438031
102302337128312
11808463318191
123122600673b4
13139156637830
147d610166d84
153ed50943e27
hex2180dfc9778

2302337128312 has 64 divisors (see below), whose sum is σ = 4696321291200. Its totient is φ = 1051795430400.

The previous prime is 2302337128291. The next prime is 2302337128319. The reversal of 2302337128312 is 2138217332032.

It is a happy number.

2302337128312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302337128319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39034908 + ... + 39093844.

It is an arithmetic number, because the mean of its divisors is an integer number (73380020175).

Almost surely, 22302337128312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302337128312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348160645600).

2302337128312 is an abundant number, since it is smaller than the sum of its proper divisors (2393984162888).

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

2302337128312 is a wasteful number, since it uses less digits than its factorization.

2302337128312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62776 (or 62772 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 2302337128312 in words is "two trillion, three hundred two billion, three hundred thirty-seven million, one hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 3719 5252 7438 10504 14876 29752 48347 58937 96694 117874 193388 235748 375619 386776 471496 751238 766181 1502476 1532362 3004952 3064724 4883047 5952637 6129448 9766094 11905274 19532188 23810548 39064376 47621096 77384281 154768562 219186703 309537124 438373406 619074248 876746812 1753493624 2849427139 5698854278 11397708556 22137857003 22795417112 44275714006 88551428012 177102856024 287792141039 575584282078 1151168564156 2302337128312