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133300232313012 = 223247911136163541
BaseRepresentation
bin11110010011110001100000…
…111111101101100010110100
3122110222101012101100022111200
4132103301200333231202310
5114432442333433004022
61151301140433532500
740035424010416512
oct3623614077554264
9573871171308450
10133300232313012
1139523347013426
1212b4a58a114130
13594c2090a29bb
1424cbaa0dcb4b2
1510626a1a89bac
hex793c60fed8b4

133300232313012 has 144 divisors (see below), whose sum is σ = 344758875761664. Its totient is φ = 43407681408000.

The previous prime is 133300232312957. The next prime is 133300232313041. The reversal of 133300232313012 is 210313232003331.

133300232313012 is a `hidden beast` number, since 1 + 3 + 3 + 30 + 0 + 2 + 323 + 1 + 301 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2097829962 + ... + 2097893502.

It is an arithmetic number, because the mean of its divisors is an integer number (2394158859456).

Almost surely, 2133300232313012 is an apocalyptic number.

133300232313012 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 133300232313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172379437880832).

133300232313012 is an abundant number, since it is smaller than the sum of its proper divisors (211458643448652).

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

133300232313012 is a wasteful number, since it uses less digits than its factorization.

133300232313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65870 (or 65865 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133300232313012 its reverse (210313232003331), we get a palindrome (343613464316343).

The spelling of 133300232313012 in words is "one hundred thirty-three trillion, three hundred billion, two hundred thirty-two million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 911 1361 1692 1822 2722 2733 3644 4083 5444 5466 8166 8199 10932 12249 16332 16398 24498 32796 42817 48996 63541 63967 85634 127082 127934 128451 171268 190623 191901 254164 255868 256902 381246 383802 385353 513804 571869 575703 762492 767604 770706 1143738 1151406 1239871 1541412 2287476 2302812 2479742 2986427 3719613 4959484 5972854 7439226 8959281 11158839 11945708 14878452 17918562 22317678 26877843 35837124 44635356 53755686 57885851 58273937 86479301 107511372 115771702 116547874 172958602 173657553 174821811 231543404 233095748 259437903 345917204 347315106 349643622 518875806 520972659 524465433 694630212 699287244 778313709 1037751612 1041945318 1048930866 1556627418 2083890636 2097861732 2720634997 3113254836 4064527147 5441269994 8129054294 8161904991 10882539988 12193581441 16258108588 16323809982 24387162882 24485714973 32647619964 36580744323 48774325764 48971429946 73161488646 78782643211 97942859892 146322977292 157565286422 236347929633 315130572844 472695859266 709043788899 945391718532 1418087577798 2836175155596 3702784230917 7405568461834 11108352692751 14811136923668 22216705385502 33325058078253 44433410771004 66650116156506 133300232313012