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540113312113310 = 251383106074719227
BaseRepresentation
bin111101011001110101110111…
…0000110110110001010011110
32121211101022212101020102102102
41322303223232012312022132
51031243204030400111220
65152420344041525102
7221523620244215045
oct17263535606661236
92554338771212372
10540113312113310
11147107850a65781
12506b16b34a3792
131a24b60b6bc0c0
1497538a396955c
1542698c03a9775
hex1eb3aee1b629e

540113312113310 has 64 divisors (see below), whose sum is σ = 1059703326968832. Its totient is φ = 197005108722816.

The previous prime is 540113312113307. The next prime is 540113312113391. The reversal of 540113312113310 is 13311213311045.

It is a super-2 number, since 2×5401133121133102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112089917 + ... + 116809143.

It is an arithmetic number, because the mean of its divisors is an integer number (16557864483888).

Almost surely, 2540113312113310 is an apocalyptic number.

540113312113310 is a deficient number, since it is larger than the sum of its proper divisors (519590014855522).

540113312113310 is a wasteful number, since it uses less digits than its factorization.

540113312113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729937.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 540113312113310 its reverse (13311213311045), we get a palindrome (553424525424355).

The spelling of 540113312113310 in words is "five hundred forty trillion, one hundred thirteen billion, three hundred twelve million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 13 26 65 83 130 166 415 830 1079 2158 5395 10607 10790 21214 53035 106070 137891 275782 689455 880381 1378910 1760762 4401905 4719227 8803810 9438454 11444953 22889906 23596135 47192270 57224765 61349951 114449530 122699902 306749755 391695841 613499510 783391682 1958479205 3916958410 5092045933 10184091866 25460229665 50056840789 50920459330 100113681578 250284203945 500568407890 650738930257 1301477860514 3253694651285 4154717785487 6507389302570 8309435570974 20773588927435 41547177854870 54011331211331 108022662422662 270056656056655 540113312113310