Search a number
-
+
11403232242012 = 223213471291401567
BaseRepresentation
bin1010010111110000010110…
…0110110110100101011100
31111101010201212020221210100
42211330011212312211130
52443312304423221022
640130323401541100
72254566503531412
oct245740546664534
944333655227710
1011403232242012
1136a70a13565a6
1213420334a4790
136494215ac520
142b5cc2b172b2
1514b956c1e1ac
hexa5f059b695c

11403232242012 has 144 divisors (see below), whose sum is σ = 31727238746112. Its totient is φ = 3431365407360.

The previous prime is 11403232241993. The next prime is 11403232242041. The reversal of 11403232242012 is 21024223230411.

11403232242012 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 232 + 2 + 420 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28196053 + ... + 28597619.

It is an arithmetic number, because the mean of its divisors is an integer number (220328046848).

Almost surely, 211403232242012 is an apocalyptic number.

11403232242012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11403232242012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863619373056).

11403232242012 is an abundant number, since it is smaller than the sum of its proper divisors (20324006504100).

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

11403232242012 is a wasteful number, since it uses less digits than its factorization.

11403232242012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402928 (or 402923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11403232242012 its reverse (21024223230411), we get a palindrome (32427455472423).

The spelling of 11403232242012 in words is "eleven trillion, four hundred three billion, two hundred thirty-two million, two hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1291 1692 1833 2444 2582 3666 3873 5164 5499 7332 7746 10998 11619 15492 16783 21996 23238 33566 46476 50349 60677 67132 100698 121354 151047 182031 201396 242708 302094 364062 401567 546093 604188 728124 788801 803134 1092186 1204701 1577602 1606268 2184372 2366403 2409402 3155204 3614103 4732806 4818804 5220371 7099209 7228206 9465612 10440742 14198418 14456412 15661113 18873649 20881484 28396836 31322226 37747298 46983339 56620947 62644452 75494596 93966678 113241894 169862841 187933356 226483788 245357437 339725682 490714874 518422997 679451364 736072311 981429748 1036845994 1472144622 1555268991 2073691988 2208216933 2944289244 3110537982 4416433866 4665806973 6221075964 6739498961 8832867732 9331613946 13478997922 18663227892 20218496883 24365880859 26957995844 40436993766 48731761718 60655490649 73097642577 80873987532 97463523436 121310981298 146195285154 219292927731 242621962596 292390570308 316756451167 438585855462 633512902334 877171710924 950269353501 1267025804668 1900538707002 2850808060503 3801077414004 5701616121006 11403232242012