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20112332201312 = 25132231123914387
BaseRepresentation
bin1001001001010110001000…
…11010101001110101100000
32122012201110000022120210012
410210223010122221311200
510114010024020420222
6110435251115024052
74144032225001031
oct444530432516540
978181400276705
1020112332201312
11645465722254a
122309aa343b028
13b2b77aa1ba00
144d7629092a88
1524d27bab11e2
hex124ac46a9d60

20112332201312 has 144 divisors (see below), whose sum is σ = 44747587019520. Its totient is φ = 8877615791616.

The previous prime is 20112332201309. The next prime is 20112332201347. The reversal of 20112332201312 is 21310223321102.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397944583 + ... + 1397958969.

It is an arithmetic number, because the mean of its divisors is an integer number (310747132080).

Almost surely, 220112332201312 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 20112332201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22373793509760).

20112332201312 is an abundant number, since it is smaller than the sum of its proper divisors (24635254818208).

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

20112332201312 is a wasteful number, since it uses less digits than its factorization.

20112332201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25685 (or 25664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20112332201312 its reverse (21310223321102), we get a palindrome (41422555522414).

The spelling of 20112332201312 in words is "twenty trillion, one hundred twelve billion, three hundred thirty-two million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 169 184 208 299 338 368 416 598 676 736 1196 1352 2392 2704 3887 4784 5408 7774 9568 11239 14387 15548 22478 28774 31096 44956 57548 62192 89912 115096 124384 146107 179824 187031 230192 258497 292214 330901 359648 374062 460384 516994 584428 661802 748124 1033988 1168856 1323604 1496248 1899391 2067976 2337712 2431403 2647208 2992496 3360461 3798782 4135952 4301713 4675424 4862806 5294416 5984992 6720922 7597564 8271904 8603426 9725612 10588832 13441844 15195128 17206852 19451224 26883688 30390256 34413704 38902448 43685993 53767376 55922269 60780512 68827408 77804896 87371986 107534752 111844538 137654816 161695493 174743972 223689076 323390986 349487944 447378152 646781972 698975888 894756304 1293563944 1397951776 1789512608 2102041409 2587127888 3718996339 4204082818 5174255776 7437992678 8408165636 14875985356 16816331272 27326538317 29751970712 33632662544 48346952407 54653076634 59503941424 67265325088 96693904814 109306153268 119007882848 193387809628 218612306536 386775619256 437224613072 628510381291 773551238512 874449226144 1257020762582 1547102477024 2514041525164 5028083050328 10056166100656 20112332201312