Search a number
-
+
2003143212032 = 2105361605071
BaseRepresentation
bin11101001001100100101…
…000111011110000000000
321002111110111100120021112
4131021210220323300000
5230304414130241112
64132121542542452
7264502520236364
oct35114450736000
97074414316245
102003143212032
1170258a137586
12284280737a28
13116b8480bc51
146cd4a0d52a4
153718de0ea22
hex1d264a3bc00

2003143212032 has 88 divisors (see below), whose sum is σ = 4146773821632. Its totient is φ = 966563020800.

The previous prime is 2003143212001. The next prime is 2003143212073. The reversal of 2003143212032 is 2302123413002.

It is a super-3 number, since 3×20031432120323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003143211989 and 2003143212007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3008057 + ... + 3613127.

Almost surely, 22003143212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003143212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073386910816).

2003143212032 is an abundant number, since it is smaller than the sum of its proper divisors (2143630609600).

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

2003143212032 is an equidigital number, since it uses as much as digits as its factorization.

2003143212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605205 (or 605187 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2003143212032 its reverse (2302123413002), we get a palindrome (4305266625034).

The spelling of 2003143212032 in words is "two trillion, three billion, one hundred forty-three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 128 212 244 256 424 488 512 848 976 1024 1696 1952 3233 3392 3904 6466 6784 7808 12932 13568 15616 25864 27136 31232 51728 54272 62464 103456 206912 413824 605071 827648 1210142 1655296 2420284 3310592 4840568 9681136 19362272 32068763 36909331 38724544 64137526 73818662 77449088 128275052 147637324 154898176 256550104 295274648 309796352 513100208 590549296 619592704 1026200416 1181098592 1956194543 2052400832 2362197184 3912389086 4104801664 4724394368 7824778172 8209603328 9448788736 15649556344 16419206656 18897577472 31299112688 32838413312 37795154944 62598225376 125196450752 250392901504 500785803008 1001571606016 2003143212032