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13113221033000 = 2353118531397551
BaseRepresentation
bin1011111011010010100011…
…1000011010110000101000
31201102121111220211221021002
42332310220320122300220
53204321334041024000
643520044112134132
72522253561452534
oct276645070326050
951377456757232
1013113221033000
1141a6316459650
12157951b237348
137417575a94ba
1433497cd0abc4
1517b1894348d5
hexbed28e1ac28

13113221033000 has 128 divisors (see below), whose sum is σ = 33513744176640. Its totient is φ = 4762850400000.

The previous prime is 13113221032943. The next prime is 13113221033047. The reversal of 13113221033000 is 33012231131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8684225 + ... + 10081775.

It is an arithmetic number, because the mean of its divisors is an integer number (261826126380).

Almost surely, 213113221033000 is an apocalyptic number.

13113221033000 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 13113221033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756872088320).

13113221033000 is an abundant number, since it is smaller than the sum of its proper divisors (20400523143640).

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

13113221033000 is a wasteful number, since it uses less digits than its factorization.

13113221033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398436 (or 1398422 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13113221033000 its reverse (33012231131), we get a palindrome (13146233264131).

The spelling of 13113221033000 in words is "thirteen trillion, one hundred thirteen billion, two hundred twenty-one million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 853 1000 1100 1375 1706 2200 2750 3412 4265 5500 6824 8530 9383 11000 17060 18766 21325 34120 37532 42650 46915 75064 85300 93830 106625 170600 187660 213250 234575 375320 426500 469150 853000 938300 1172875 1397551 1876600 2345750 2795102 4691500 5590204 6987755 9383000 11180408 13975510 15373061 27951020 30746122 34938775 55902040 61492244 69877550 76865305 122984488 139755100 153730610 174693875 279510200 307461220 349387750 384326525 614922440 698775500 768653050 1192111003 1397551000 1537306100 1921632625 2384222006 3074612200 3843265250 4768444012 5960555015 7686530500 9536888024 11921110030 13113221033 15373061000 23842220060 26226442066 29802775075 47684440120 52452884132 59605550150 65566105165 104905768264 119211100300 131132210330 149013875375 238422200600 262264420660 298027750750 327830525825 524528841320 596055501500 655661051650 1192111003000 1311322103300 1639152629125 2622644206600 3278305258250 6556610516500 13113221033000