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13215240303240 = 2335311958396047
BaseRepresentation
bin1100000001001110100110…
…1101000011001010001000
31201210100211211002211112110
43000103221231003022020
53213004303004200430
644034555251142320
72532524655112353
oct300235155031210
951710754084473
1013215240303240
1142356086a3328
1215952512a49a0
1374b26554c4b1
1433989a20129a
1517db5aa8b7b0
hexc04e9b43288

13215240303240 has 128 divisors (see below), whose sum is σ = 39671783424000. Its totient is φ = 3521748373248.

The previous prime is 13215240303157. The next prime is 13215240303253. The reversal of 13215240303240 is 4230304251231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13215240303198 and 13215240303207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2185417897 + ... + 2185423943.

It is an arithmetic number, because the mean of its divisors is an integer number (309935808000).

Almost surely, 213215240303240 is an apocalyptic number.

13215240303240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13215240303240 is an abundant number, since it is smaller than the sum of its proper divisors (26456543120760).

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

13215240303240 is a wasteful number, since it uses less digits than its factorization.

13215240303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15019 (or 15015 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13215240303240 its reverse (4230304251231), we get a palindrome (17445544554471).

The spelling of 13215240303240 in words is "thirteen trillion, two hundred fifteen billion, two hundred forty million, three hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3119 5839 6047 6238 9357 11678 12094 12476 15595 17517 18141 18714 23356 24188 24952 29195 30235 31190 35034 36282 37428 46712 46785 48376 58390 60470 62380 70068 72564 74856 87585 90705 93570 116780 120940 124760 140136 145128 175170 181410 187140 233560 241880 350340 362820 374280 700680 725640 18211841 18860593 35308433 36423682 37721186 54635523 56581779 70616866 72847364 75442372 91059205 94302965 105925299 109271046 113163558 141233732 145694728 150884744 176542165 182118410 188605930 211850598 218542092 226327116 273177615 282467464 282908895 353084330 364236820 377211860 423701196 437084184 452654232 529626495 546355230 565817790 706168660 728473640 754423720 847402392 1059252990 1092710460 1131635580 1412337320 2118505980 2185420920 2263271160 4237011960 110127002527 220254005054 330381007581 440508010108 550635012635 660762015162 881016020216 1101270025270 1321524030324 1651905037905 2202540050540 2643048060648 3303810075810 4405080101080 6607620151620 13215240303240