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1032120020240 = 245891975631307
BaseRepresentation
bin11110000010011110010…
…01011010110100010000
310122200002012220111220022
433001033021122310100
5113402240211121430
62110052134003012
7134365616263631
oct17011711326420
93580065814808
101032120020240
113687a0931571
12148046aa6468
137643693b18a
1437d5226d888
151bcab55e4e5
hexf04f25ad10

1032120020240 has 160 divisors (see below), whose sum is σ = 2445161178240. Its totient is φ = 405105569792.

The previous prime is 1032120020227. The next prime is 1032120020287. The reversal of 1032120020240 is 420200212301.

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, 789685667 + ... + 789686973.

It is an arithmetic number, because the mean of its divisors is an integer number (15282257364).

Almost surely, 21032120020240 is an apocalyptic number.

1032120020240 is a gapful number since it is divisible by the number (10) 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 1032120020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222580589120).

1032120020240 is an abundant number, since it is smaller than the sum of its proper divisors (1413041158000).

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

1032120020240 is a wasteful number, since it uses less digits than its factorization.

1032120020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1032120020240 its reverse (420200212301), we get a palindrome (1452320232541).

The spelling of 1032120020240 in words is "one trillion, thirty-two billion, one hundred twenty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 197 356 394 445 563 712 788 890 985 1126 1307 1424 1576 1780 1970 2252 2614 2815 3152 3560 3940 4504 5228 5630 6535 7120 7880 9008 10456 11260 13070 15760 17533 20912 22520 26140 35066 45040 50107 52280 70132 87665 100214 104560 110911 116323 140264 175330 200428 221822 232646 250535 257479 280528 350660 400856 443644 465292 501070 514958 554555 581615 701320 735841 801712 887288 930584 1002140 1029916 1109110 1163230 1287395 1402640 1471682 1774576 1861168 2004280 2059832 2218220 2326460 2574790 2943364 3679205 4008560 4119664 4436440 4652920 5149580 5886728 7358410 8872880 9305840 9871079 10299160 11773456 14716820 19742158 20598320 22915631 29433640 39484316 45831262 49355395 58867280 65489849 78968632 91662524 98710790 114578155 130979698 144960677 157937264 183325048 197421580 229156310 261959396 289921354 327449245 366650096 394843160 458312620 523918792 579842708 654898490 724803385 789686320 916625240 1047837584 1159685416 1309796980 1449606770 1833250480 2319370832 2619593960 2899213540 5239187920 5798427080 11596854160 12901500253 25803000506 51606001012 64507501265 103212002024 129015002530 206424004048 258030005060 516060010120 1032120020240