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13100014232320 = 285191319408379
BaseRepresentation
bin1011111010100001010110…
…1100011110001100000000
31201101100102111220221121011
42332220111230132030000
53204112312120413240
643510021412410304
72521305364504501
oct276502554361400
951340374827534
1013100014232320
1141a0759576844
121576a54316994
1374043140bc42
14334088d0cba8
1517ab64c836ea
hexbea15b1e300

13100014232320 has 144 divisors (see below), whose sum is σ = 33055257312000. Its totient is φ = 4960440152064.

The previous prime is 13100014232309. The next prime is 13100014232477. The reversal of 13100014232320 is 2323241000131.

It is a super-2 number, since 2×131000142323202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100014232291 and 13100014232300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31873891 + ... + 32282269.

It is an arithmetic number, because the mean of its divisors is an integer number (229550398000).

Almost surely, 213100014232320 is an apocalyptic number.

13100014232320 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 13100014232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16527628656000).

13100014232320 is an abundant number, since it is smaller than the sum of its proper divisors (19955243079680).

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

13100014232320 is a wasteful number, since it uses less digits than its factorization.

13100014232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409738 (or 409724 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13100014232320 its reverse (2323241000131), we get a palindrome (15423255232451).

The spelling of 13100014232320 in words is "thirteen trillion, one hundred billion, fourteen million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1319 1520 2432 2638 3040 4864 5276 6080 6595 10552 12160 13190 21104 24320 25061 26380 42208 50122 52760 84416 100244 105520 125305 168832 200488 211040 250610 337664 400976 408379 422080 501220 801952 816758 844160 1002440 1603904 1633516 1688320 2004880 2041895 3207808 3267032 4009760 4083790 6415616 6534064 7759201 8019520 8167580 13068128 15518402 16039040 16335160 26136256 31036804 32078080 32670320 38796005 52272512 62073608 65340640 77592010 104545024 124147216 130681280 155184020 248294432 261362560 310368040 496588864 522725120 538651901 620736080 993177728 1077303802 1241472160 1986355456 2154607604 2482944320 2693259505 4309215208 4965888640 5386519010 8618430416 9931777280 10234386119 10773038020 17236860832 20468772238 21546076040 34473721664 40937544476 43092152080 51171930595 68947443328 81875088952 86184304160 102343861190 137894886656 163750177904 172368608320 204687722380 327500355808 344737216640 409375444760 655000711616 689474433280 818750889520 1310001423232 1637501779040 2620002846464 3275003558080 6550007116160 13100014232320