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13051344315030 = 2357367297156999
BaseRepresentation
bin1011110111101100000010…
…1111011110001010010110
31201012200210121212222102220
42331323000233132022112
53202313123121040110
643431412123243210
72514633323154060
oct275730057361226
951180717788386
1013051344315030
1141820536885aa
121569530979506
137389760aaa08
1433198d0d0730
15179767072370
hexbdec0bde296

13051344315030 has 128 divisors (see below), whose sum is σ = 35908227072000. Its totient is φ = 2973982366080.

The previous prime is 13051344314989. The next prime is 13051344315127. The reversal of 13051344315030 is 3051344315031.

It is a junction number, because it is equal to n+sod(n) for n = 13051344314982 and 13051344315000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228946471 + ... + 229003469.

It is an arithmetic number, because the mean of its divisors is an integer number (280533024000).

Almost surely, 213051344315030 is an apocalyptic number.

13051344315030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13051344315030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954113536000).

13051344315030 is an abundant number, since it is smaller than the sum of its proper divisors (22856882756970).

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

13051344315030 is a wasteful number, since it uses less digits than its factorization.

13051344315030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60354.

The product of its (nonzero) digits is 32400, while the sum is 33.

Subtracting from 13051344315030 its reverse (3051344315031), we obtain a palindrome (9999999999999).

The spelling of 13051344315030 in words is "thirteen trillion, fifty-one billion, three hundred forty-four million, three hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 367 734 1101 1835 2202 2569 2971 3670 5138 5505 5942 7707 8913 11010 12845 14855 15414 17826 20797 25690 29710 38535 41594 44565 56999 62391 77070 89130 103985 113998 124782 170997 207970 284995 311955 341994 398993 569990 623910 797986 854985 1090357 1196979 1709970 1994965 2180714 2393958 3271071 3989930 5451785 5984895 6542142 7632499 10903570 11969790 15264998 16355355 20918633 22897497 32710710 38162495 41837266 45794994 62755899 76324990 104593165 114487485 125511798 146430431 169344029 209186330 228974970 292860862 313779495 338688058 439291293 508032087 627558990 732152155 846720145 878582586 1016064174 1185408203 1464304310 1693440290 2196456465 2370816406 2540160435 3556224609 4392912930 5080320870 5927041015 7112449218 11854082030 17781123045 35562246090 62149258643 124298517286 186447775929 310746293215 372895551858 435044810501 621492586430 870089621002 932238879645 1305134431503 1864477759290 2175224052505 2610268863006 4350448105010 6525672157515 13051344315030