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513300220016661 = 3271116193593127331
BaseRepresentation
bin111010010110110000000010…
…1010001101111100000010101
32111022110000120220000012120100
41310231200011101233200111
51014234402322311013121
65015410510555124313
7213055500650654640
oct16455400521574025
92438400526005510
10513300220016661
1113960a445543610
12496a1031143699
1319055006922b7c
1490a7c128d6a57
153e521b3c04026
hex1d2d80546f815

513300220016661 has 96 divisors (see below), whose sum is σ = 925220471086080. Its totient is φ = 266408504812800.

The previous prime is 513300220016567. The next prime is 513300220016663. The reversal of 513300220016661 is 166610022003315.

It is not a de Polignac number, because 513300220016661 - 211 = 513300220014613 is a prime.

It is a super-2 number, since 2×5133002200166612 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513300220016663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4031163766 + ... + 4031291096.

It is an arithmetic number, because the mean of its divisors is an integer number (9637713240480).

Almost surely, 2513300220016661 is an apocalyptic number.

It is an amenable number.

513300220016661 is a deficient number, since it is larger than the sum of its proper divisors (411920251069419).

513300220016661 is a wasteful number, since it uses less digits than its factorization.

513300220016661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132567 (or 132564 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 513300220016661 its reverse (166610022003315), we get a palindrome (679910242019976).

The spelling of 513300220016661 in words is "five hundred thirteen trillion, three hundred billion, two hundred twenty million, sixteen thousand, six hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1619 3593 4857 10779 11333 14571 17809 25151 32337 33999 39523 53427 75453 101997 118569 124663 127331 160281 226359 276661 355707 373989 381993 829983 891317 1121967 1145979 1400641 2489949 2673951 4201923 5817067 8021853 9804487 12605769 17451201 29413461 40719469 52353603 63987737 88240383 122158407 191963211 206148889 366475221 447914159 457500283 575889633 618446667 1343742477 1372500849 1443042223 1855340001 2267637779 3202501981 4031227431 4117502547 4329126669 5032503113 6802913337 9607505943 12987380007 15097509339 15873464453 20408740011 28822517829 35227521791 45292528017 47620393359 105682565373 142861180077 317047696119 740692958177 2222078874531 5184850707239 6666236623593 8147622539947 15554552121717 24442867619841 46663656365151 57033357779629 73328602859523 171100073338887 513300220016661