Search a number
-
+
113302113231232 = 2753143321115521
BaseRepresentation
bin11001110000110000110100…
…001101100010000110000000
3112212011120120002011100120201
4121300300310031202012000
5104322320211441344412
61040550134450214544
732602543663051312
oct3160606415420600
9485146502140521
10113302113231232
113311317a159062
121085a860584454
134b2b4606a1333
141dd9bcc8ab7b2
15d173abde2e57
hex670c34362180

113302113231232 has 128 divisors (see below), whose sum is σ = 230289113387520. Its totient is φ = 55507014451200.

The previous prime is 113302113231191. The next prime is 113302113231247. The reversal of 113302113231232 is 232132311203311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 113302113231232.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20522024632 + ... + 20522030152.

It is an arithmetic number, because the mean of its divisors is an integer number (1799133698340).

Almost surely, 2113302113231232 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 113302113231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115144556693760).

113302113231232 is an abundant number, since it is smaller than the sum of its proper divisors (116987000156288).

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

113302113231232 is a wasteful number, since it uses less digits than its factorization.

113302113231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 113302113231232 its reverse (232132311203311), we get a palindrome (345434424434543).

The spelling of 113302113231232 in words is "one hundred thirteen trillion, three hundred two billion, one hundred thirteen million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1433 1696 2111 2866 3392 4222 5521 5732 6784 8444 11042 11464 16888 22084 22928 33776 44168 45856 67552 75949 88336 91712 111883 135104 151898 176672 183424 223766 270208 292613 303796 353344 447532 585226 607592 706688 895064 1170452 1215184 1790128 2340904 2430368 3025063 3580256 4681808 4860736 6050126 7160512 7911593 9363616 9721472 11654831 12100252 14321024 15823186 18727232 23309662 24200504 31646372 37454464 46619324 48401008 63292744 93238648 96802016 126585488 160328339 186477296 193604032 253170976 320656678 372954592 387208064 419314429 506341952 617706043 641313356 745909184 838628858 1012683904 1235412086 1282626712 1491818368 1677257716 2470824172 2565253424 3354515432 4941648344 5130506848 6709030864 9883296688 10261013696 13418061728 16701372823 19766593376 20522027392 26836123456 33402745646 39533186752 53672246912 66805491292 79066373504 133610982584 267221965168 534443930336 885172759619 1068887860672 1770345519238 2137775721344 3540691038476 7081382076952 14162764153904 28325528307808 56651056615616 113302113231232