Search a number
-
+
12100300032030 = 2357593673714423
BaseRepresentation
bin1011000000010101001000…
…0101011100100000011110
31120211202222201021122121120
42300011102011130200132
53041222403302011110
641422445011511410
72356134500142660
oct260052205344036
946752881248546
1012100300032030
113945787a06461
121435151bb8566
1369a09040b872
142db92c820530
1515eb53673870
hexb015215c81e

12100300032030 has 128 divisors (see below), whose sum is σ = 33252603107328. Its totient is φ = 2760517558272.

The previous prime is 12100300032019. The next prime is 12100300032031. The reversal of 12100300032030 is 3023000300121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100300032031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 838951399 + ... + 838965821.

It is an arithmetic number, because the mean of its divisors is an integer number (259785961776).

Almost surely, 212100300032030 is an apocalyptic number.

12100300032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100300032030 is an abundant number, since it is smaller than the sum of its proper divisors (21152303075298).

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

12100300032030 is a wasteful number, since it uses less digits than its factorization.

12100300032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21770.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12100300032030 its reverse (3023000300121), we get a palindrome (15123300332151).

The spelling of 12100300032030 in words is "twelve trillion, one hundred billion, three hundred million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 593 1186 1779 2965 3558 4151 5930 6737 8302 8895 12453 13474 14423 17790 20211 20755 24906 28846 33685 40422 41510 43269 47159 62265 67370 72115 86538 94318 100961 101055 124530 141477 144230 201922 202110 216345 235795 282954 302883 432690 471590 504805 605766 707385 1009610 1414770 1514415 3028830 3995041 7990082 8552839 11985123 17105678 19975205 23970246 25658517 27965287 39950410 42764195 51317034 55930574 59869873 59925615 83895861 85528390 97167751 119739746 119851230 128292585 139826435 167791722 179609619 194335502 256585170 279652870 291503253 299349365 359219238 419479305 485838755 583006506 598698730 680174257 838958610 898048095 971677510 1360348514 1457516265 1796096190 2040522771 2915032530 3400871285 4081045542 6801742570 10202613855 20405227710 57620476343 115240952686 172861429029 288102381715 345722858058 403343334401 576204763430 806686668802 864307145145 1210030003203 1728614290290 2016716672005 2420060006406 4033433344010 6050150016015 12100300032030