Search a number
-
+
3001123133130 = 235176610389021
BaseRepresentation
bin101011101011000000111…
…000001101011011001010
3101121220102102122100110110
4223223000320031123022
5343132300010230010
610214410312055150
7426552425505513
oct53530070153312
911556372570413
103001123133130
11a57850851281
1240577a0944b6
1318a00a420115
14a5380137a0a
15530ed149120
hex2bac0e0d6ca

3001123133130 has 64 divisors (see below), whose sum is σ = 7626584533248. Its totient is φ = 753203205120.

The previous prime is 3001123133093. The next prime is 3001123133149. The reversal of 3001123133130 is 313313211003.

It is a junction number, because it is equal to n+sod(n) for n = 3001123133097 and 3001123133106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33668020 + ... + 33757040.

It is an arithmetic number, because the mean of its divisors is an integer number (119165383332).

Almost surely, 23001123133130 is an apocalyptic number.

3001123133130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3001123133130 is an abundant number, since it is smaller than the sum of its proper divisors (4625461400118).

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

3001123133130 is a wasteful number, since it uses less digits than its factorization.

3001123133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155151.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3001123133130 its reverse (313313211003), we get a palindrome (3314436344133).

The spelling of 3001123133130 in words is "three trillion, one billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 66103 89021 132206 178042 198309 267063 330515 396618 445105 534126 661030 890210 991545 1123751 1335315 1513357 1983090 2247502 2670630 3026714 3371253 4540071 5618755 6742506 7566785 9080142 11237510 15133570 16856265 22700355 33712530 45400710 5884555163 11769110326 17653665489 29422775815 35307330978 58845551630 88268327445 100037437771 176536654890 200074875542 300112313313 500187188855 600224626626 1000374377710 1500561566565 3001123133130