Search a number
-
+
11325514001004 = 22327235318187987
BaseRepresentation
bin1010010011001110110100…
…1111010010101001101100
31111002201010112200020200200
42210303231033102221230
52441024123041013004
640030511434153500
72246145536426400
oct244635517225154
944081115606620
1011325514001004
11367713a441855
12132ab63882890
13641cb7103c78
142b222d01d100
15149908c1c239
hexa4ced3d2a6c

11325514001004 has 108 divisors (see below), whose sum is σ = 33396747189624. Its totient is φ = 3226694220288.

The previous prime is 11325514000987. The next prime is 11325514001057. The reversal of 11325514001004 is 40010041552311.

11325514001004 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 551 + 4 + 0 + 0 + 100 + 4 = 666.

It is a super-2 number, since 2×113255140010042 (a number of 27 digits) contains 22 as substring.

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, 8471302 + ... + 9716685.

Almost surely, 211325514001004 is an apocalyptic number.

11325514001004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11325514001004 is an abundant number, since it is smaller than the sum of its proper divisors (22071233188620).

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

11325514001004 is a wasteful number, since it uses less digits than its factorization.

11325514001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18188364 (or 18188352 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11325514001004 its reverse (40010041552311), we get a palindrome (51335555553315).

The spelling of 11325514001004 in words is "eleven trillion, three hundred twenty-five billion, five hundred fourteen million, one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 353 441 588 706 882 1059 1412 1764 2118 2471 3177 4236 4942 6354 7413 9884 12708 14826 17297 22239 29652 34594 44478 51891 69188 88956 103782 155673 207564 311346 622692 18187987 36375974 54563961 72751948 109127922 127315909 163691883 218255844 254631818 327383766 381947727 509263636 654767532 763895454 891211363 1145843181 1527790908 1782422726 2291686362 2673634089 3564845452 4583372724 5347268178 6420359411 8020902267 10694536356 12840718822 16041804534 19261078233 25681437644 32083609068 38522156466 44942515877 57783234699 77044312932 89885031754 115566469398 134827547631 179770063508 231132938796 269655095262 314597611139 404482642893 539310190524 629195222278 808965285786 943792833417 1258390444556 1617930571572 1887585666834 2831378500251 3775171333668 5662757000502 11325514001004