Search a number
-
+
2003230331130 = 235729328937657
BaseRepresentation
bin11101001001101001110…
…101010001000011111010
321002111200120021200012210
4131021221311101003322
5230310103431044010
64132134334115550
7264504625603050
oct35115165210372
97074616250183
102003230331130
11702624330436
122842a594bbb6
13116b99892802
146cd578d21d0
15371968bcb20
hex1d269d510fa

2003230331130 has 64 divisors (see below), whose sum is σ = 5684042730240. Its totient is φ = 442092209664.

The previous prime is 2003230331119. The next prime is 2003230331131. The reversal of 2003230331130 is 311330323002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2003230331097 and 2003230331106.

It is not an unprimeable number, because it can be changed into a prime (2003230331131) 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, 164462739 + ... + 164474918.

It is an arithmetic number, because the mean of its divisors is an integer number (88813167660).

Almost surely, 22003230331130 is an apocalyptic number.

2003230331130 is an abundant number, since it is smaller than the sum of its proper divisors (3680812399110).

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

2003230331130 is a wasteful number, since it uses less digits than its factorization.

2003230331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328937703.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2003230331130 its reverse (311330323002), we get a palindrome (2314560654132).

The spelling of 2003230331130 in words is "two trillion, three billion, two hundred thirty million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 328937657 657875314 986812971 1644688285 1973625942 2302563599 3289376570 4605127198 4934064855 6907690797 9539192053 9868129710 11512817995 13815381594 19078384106 23025635990 28617576159 34538453985 47695960265 57235152318 66774344371 69076907970 95391920530 133548688742 143087880795 200323033113 286175761590 333871721855 400646066226 667743443710 1001615165565 2003230331130