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513214213353342 = 231719349758786291
BaseRepresentation
bin111010010110000111111111…
…0111000010110111101111110
32111022010210120221022000112120
41310230033332320112331332
51014232000202104301332
65015303204345543410
7213046334431253244
oct16454177670267576
92438123527260476
10513214213353342
11139586a1aa75476
12496884297a4b66
1319049b7b22b407
1490a39b40d6794
153e4ed2d23332c
hex1d2c3fee16f7e

513214213353342 has 64 divisors (see below), whose sum is σ = 1147284873504000. Its totient is φ = 152097194257920.

The previous prime is 513214213353337. The next prime is 513214213353343. The reversal of 513214213353342 is 243353312412315.

It is a junction number, because it is equal to n+sod(n) for n = 513214213353294 and 513214213353303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513214213353343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378716784 + ... + 380069507.

It is an arithmetic number, because the mean of its divisors is an integer number (17926326148500).

Almost surely, 2513214213353342 is an apocalyptic number.

513214213353342 is an abundant number, since it is smaller than the sum of its proper divisors (634070660150658).

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

513214213353342 is a wasteful number, since it uses less digits than its factorization.

513214213353342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758786681.

The product of its digits is 777600, while the sum is 42.

Adding to 513214213353342 its reverse (243353312412315), we get a palindrome (756567525765657).

The spelling of 513214213353342 in words is "five hundred thirteen trillion, two hundred fourteen billion, two hundred thirteen million, three hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 349 646 698 969 1047 1938 2094 5933 6631 11866 13262 17799 19893 35598 39786 112727 225454 338181 676362 758786291 1517572582 2276358873 4552717746 12899366947 14416939529 25798733894 28833879058 38698100841 43250818587 77396201682 86501637174 245087971993 264816415559 490175943986 529632831118 735263915979 794449246677 1470527831958 1588898493354 4501879064503 5031511895621 9003758129006 10063023791242 13505637193509 15094535686863 27011274387018 30189071373726 85535702225557 171071404451114 256607106676671 513214213353342