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1311020003034 = 232723931378127
BaseRepresentation
bin10011000100111110111…
…000011010111011011010
311122022222020102121110200
4103010332320122323122
5132434432110044114
62442135124323030
7163501204105200
oct23047670327332
94568866377420
101311020003034
11466000682615
12192101b43476
13968232066b1
144764cd85070
1524181616409
hex1313ee1aeda

1311020003034 has 72 divisors (see below), whose sum is σ = 3305154835008. Its totient is φ = 374480865360.

The previous prime is 1311020002937. The next prime is 1311020003057. The reversal of 1311020003034 is 4303000201131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311020002998 and 1311020003016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3278079 + ... + 3656205.

It is an arithmetic number, because the mean of its divisors is an integer number (45904928264).

Almost surely, 21311020003034 is an apocalyptic number.

1311020003034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1311020003034 is an abundant number, since it is smaller than the sum of its proper divisors (1994134831974).

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

1311020003034 is a wasteful number, since it uses less digits than its factorization.

1311020003034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382080 (or 382070 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1311020003034 its reverse (4303000201131), we get a palindrome (5614020204165).

The spelling of 1311020003034 in words is "one trillion, three hundred eleven billion, twenty million, three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 3931 7862 11793 23586 27517 35379 55034 70758 82551 165102 192619 247653 378127 385238 495306 577857 756254 1134381 1155714 1733571 2268762 2646889 3403143 3467142 5293778 6806286 7940667 15881334 18528223 23822001 37056446 47644002 55584669 111169338 166754007 333508014 1486417237 2972834474 4459251711 8918503422 10404920659 13377755133 20809841318 26755510266 31214761977 62429523954 72834444613 93644285931 145668889226 187288571862 218503333839 437006667678 655510001517 1311020003034