Search a number
-
+
11024314000035 = 357283371001649
BaseRepresentation
bin1010000001101100110001…
…0100011110001010100011
31110000220200101201212002020
42200123030110132022203
52421110243341000120
635240255552552523
72215323530602650
oct240331424361243
943026611655066
1011024314000035
113570426939016
1212a0704552743
1361c7857b061b
142a181878ac27
15141b7b022640
hexa06cc51e2a3

11024314000035 has 32 divisors (see below), whose sum is σ = 20229977971200. Its totient is φ = 5021878307328.

The previous prime is 11024314000019. The next prime is 11024314000039. The reversal of 11024314000035 is 53000041342011.

It is a happy number.

It is not a de Polignac number, because 11024314000035 - 24 = 11024314000019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11024313999969 and 11024314000014.

It is not an unprimeable number, because it can be changed into a prime (11024314000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185471110 + ... + 185530539.

It is an arithmetic number, because the mean of its divisors is an integer number (632186811600).

Almost surely, 211024314000035 is an apocalyptic number.

11024314000035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11024314000035 is a deficient number, since it is larger than the sum of its proper divisors (9205663971165).

11024314000035 is a wasteful number, since it uses less digits than its factorization.

11024314000035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371001947.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11024314000035 its reverse (53000041342011), we get a palindrome (64024355342046).

The spelling of 11024314000035 in words is "eleven trillion, twenty-four billion, three hundred fourteen million, thirty-five", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 35 105 283 849 1415 1981 4245 5943 9905 29715 371001649 1113004947 1855008245 2597011543 5565024735 7791034629 12985057715 38955173145 104993466667 314980400001 524967333335 734954266669 1574902000005 2204862800007 3674771333345 11024314000035