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511340013331134 = 2313192331483918299
BaseRepresentation
bin111010001000011111001111…
…1110110101010001010111110
32111001111121221201022011212020
41310100332133312222022332
51014010243321403044014
65011310205331021010
7212464045133026641
oct16420763766521276
92431447851264766
10511340013331134
11138a24099a11989
1249425153a3a766
1318c42205685a30
14903adbadb1a58
153e1b1d94d31a9
hex1d10f9fdaa2be

511340013331134 has 128 divisors (see below), whose sum is σ = 1248741494784000. Its totient is φ = 137974785125760.

The previous prime is 511340013331127. The next prime is 511340013331151. The reversal of 511340013331134 is 431133310043115.

It is a super-2 number, since 2×5113400133311342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511340013331095 and 511340013331104.

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 63 ways as a sum of consecutive naturals, for example, 240902484 + ... + 243015815.

It is an arithmetic number, because the mean of its divisors is an integer number (9755792928000).

Almost surely, 2511340013331134 is an apocalyptic number.

511340013331134 is an abundant number, since it is smaller than the sum of its proper divisors (737401481452866).

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

511340013331134 is a wasteful number, since it uses less digits than its factorization.

511340013331134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483918390.

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 511340013331134 its reverse (431133310043115), we get a palindrome (942473323374249).

The spelling of 511340013331134 in words is "five hundred eleven trillion, three hundred forty billion, thirteen million, three hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 19 23 26 31 38 39 46 57 62 69 78 93 114 138 186 247 299 403 437 494 589 598 713 741 806 874 897 1178 1209 1311 1426 1482 1767 1794 2139 2418 2622 3534 4278 5681 7657 9269 11362 13547 15314 17043 18538 22971 27094 27807 34086 40641 45942 55614 81282 176111 352222 528333 1056666 483918299 967836598 1451754897 2903509794 6290937887 9194447681 11130120877 12581875774 15001467269 18388895362 18872813661 22260241754 27583343043 30002934538 33390362631 37745627322 45004401807 55166686086 66780725262 90008803614 119527819853 144691571401 195019074497 211472296663 239055639706 285027878111 289383142802 345033747187 358583459559 390038148994 422944593326 434074714203 570055756222 585057223491 634416889989 690067494374 717166919118 855083634333 868149428406 1035101241561 1170114446982 1268833779978 1710167268666 2070202483122 2749139856619 3705362415443 4485438713431 5498279713238 6555641196553 7410724830886 8247419569857 8970877426862 11116087246329 13111282393106 13456316140293 16494839139714 19666923589659 22232174492658 26912632280586 39333847179318 85223335555189 170446671110378 255670006665567 511340013331134