Search a number
-
+
1330232223012 = 2237211351758477
BaseRepresentation
bin10011010110111000000…
…001001110010100100100
311201011120011121111200120
4103112320001032110210
5133243303422114022
62455033353041540
7165051252222300
oct23267001162444
94634504544616
101330232223012
1147316a457870
121959840b62b0
13985956195b4
14485527a2d00
1524908120d5c
hex135b804e524

1330232223012 has 144 divisors (see below), whose sum is σ = 3940056767808. Its totient is φ = 345410714880.

The previous prime is 1330232222993. The next prime is 1330232223013. The reversal of 1330232223012 is 2103222320331.

It is not an unprimeable number, because it can be changed into a prime (1330232223013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22718718 + ... + 22777194.

It is an arithmetic number, because the mean of its divisors is an integer number (27361505332).

Almost surely, 21330232223012 is an apocalyptic number.

1330232223012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330232223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970028383904).

1330232223012 is an abundant number, since it is smaller than the sum of its proper divisors (2609824544796).

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

1330232223012 is a wasteful number, since it uses less digits than its factorization.

1330232223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62026 (or 62017 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1330232223012 its reverse (2103222320331), we get a palindrome (3433454543343).

The spelling of 1330232223012 in words is "one trillion, three hundred thirty billion, two hundred thirty-two million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 3517 6468 7034 10551 14068 21102 24619 38687 42204 49238 58477 73857 77374 98476 116061 116954 147714 154748 172333 175431 232122 233908 270809 295428 344666 350862 409339 464244 516999 541618 643247 689332 701724 812427 818678 1033998 1083236 1228017 1286494 1624854 1637356 1895663 1929741 2067996 2456034 2572988 2865373 3249708 3791326 3859482 4502729 4912068 5686989 5730746 7582652 7718964 8596119 9005458 11373978 11461492 13508187 17192238 18010916 22747956 27016374 31519103 34384476 54032748 63038206 94557309 126076412 189114618 205663609 378229236 411327218 616990827 822654436 1233981654 1439645263 2262299699 2467963308 2879290526 4318935789 4524599398 5758581052 6786899097 8637871578 9049198796 10077516841 13573798194 15836097893 17275743156 20155033682 27147596388 30232550523 31672195786 40310067364 47508293679 60465101046 63344391572 95016587358 110852685251 120930202092 190033174716 221705370502 332558055753 443410741004 665116111506 1330232223012