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12300665533104 = 2431357135479733
BaseRepresentation
bin1011001011111111100011…
…0011001011001010110000
31121112221011112022201022210
42302333320303023022300
53103013230334024404
642054503035532120
72406456646614534
oct262777063131260
947487145281283
1012300665533104
113a12757019a63
121467b4bbba040
136b2c42380660
143074d9285bc4
15164e7dc44689
hexb2ff8ccb2b0

12300665533104 has 160 divisors (see below), whose sum is σ = 34294202086144. Its totient is φ = 3776738503680.

The previous prime is 12300665533061. The next prime is 12300665533127. The reversal of 12300665533104 is 40133556600321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263805422 + ... + 1263815154.

Almost surely, 212300665533104 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 12300665533104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147101043072).

12300665533104 is an abundant number, since it is smaller than the sum of its proper divisors (21993536553040).

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

12300665533104 is a wasteful number, since it uses less digits than its factorization.

12300665533104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13875 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 12300665533104 in words is "twelve trillion, three hundred billion, six hundred sixty-five million, five hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 571 624 1142 1713 2284 3426 3547 4568 6852 7094 7423 9136 9733 10641 13704 14188 14846 19466 21282 22269 27408 28376 29199 29692 38932 42564 44538 46111 56752 58398 59384 77864 85128 89076 92222 116796 118768 126529 138333 155728 170256 178152 184444 233592 253058 276666 356304 368888 379587 467184 506116 553332 737776 759174 1012232 1106664 1518348 2024464 2025337 2213328 3036696 4050674 5557543 6073392 6076011 8101348 11115086 12152022 16202696 16672629 22230172 24304044 26329381 32405392 33345258 34522951 44460344 48608088 52658762 66690516 69045902 72248059 78988143 88920688 97216176 103568853 105317524 133381032 138091804 144496118 157976286 207137706 210635048 216744177 266762064 276183608 288992236 315952572 414275412 421270096 433488354 448798363 552367216 577984472 631905144 828550824 866976708 897596726 1155968944 1263810288 1346395089 1657101648 1733953416 1795193452 2692790178 3467906832 3590386904 5385580356 7180773808 10771160712 19712605021 21542321424 39425210042 59137815063 78850420084 118275630126 157700840168 236551260252 256263865273 315401680336 473102520504 512527730546 768791595819 946205041008 1025055461092 1537583191638 2050110922184 3075166383276 4100221844368 6150332766552 12300665533104