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12301130752232 = 23719271197921557
BaseRepresentation
bin1011001100000001010010…
…0001110110000011101000
31121112222100221201021222212
42303000110201312003220
53103020203433032412
642055021135104252
72406504326121530
oct263002441660350
947488327637885
1012301130752232
113a1297568aa83
12146805b972088
136b2cb787864a
14307540d864c0
15164ea99dc222
hexb30148760e8

12301130752232 has 128 divisors (see below), whose sum is σ = 27864663552000. Its totient is φ = 4973269259520.

The previous prime is 12301130752231. The next prime is 12301130752241. The reversal of 12301130752232 is 23225703110321.

It is not an unprimeable number, because it can be changed into a prime (12301130752231) 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 31 ways as a sum of consecutive naturals, for example, 570621998 + ... + 570643554.

It is an arithmetic number, because the mean of its divisors is an integer number (217692684000).

Almost surely, 212301130752232 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 12301130752232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932331776000).

12301130752232 is an abundant number, since it is smaller than the sum of its proper divisors (15563532799768).

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

12301130752232 is a wasteful number, since it uses less digits than its factorization.

12301130752232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23839 (or 23835 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 12301130752232 its reverse (23225703110321), we get a palindrome (35526833862553).

The spelling of 12301130752232 in words is "twelve trillion, three hundred one billion, one hundred thirty million, seven hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 271 532 542 1064 1084 1897 1979 2168 3794 3958 5149 7588 7916 10298 13853 15176 15832 20596 21557 27706 36043 37601 41192 43114 55412 72086 75202 86228 110824 144172 150404 150899 172456 263207 288344 300808 301798 409583 526414 536309 603596 819166 1052828 1072618 1207192 1638332 2105656 2145236 2867081 3276664 3754163 4290472 5734162 5841947 7508326 10189871 11468324 11683894 15016652 20379742 22936648 23367788 30033304 40759484 40893629 42661303 46735576 71329097 81518968 81787258 85322606 110996993 142658194 163574516 170645212 221993986 285316388 298629121 327149032 341290424 443987972 570632776 597258242 776978951 810564757 887975944 1194516484 1553957902 1621129514 2389032968 3107915804 3242259028 5673953299 6215831608 6484518056 11347906598 11561213113 22695813196 23122426226 45391626392 46244852452 80928491791 92489704904 161856983582 219663049147 323713967164 439326098294 647427934328 878652196588 1537641344029 1757304393176 3075282688058 6150565376116 12301130752232