Search a number
-
+
12143313011000 = 2353113107462947
BaseRepresentation
bin1011000010110101010111…
…0110111100000100111000
31120222220000100210101020202
42300231111312330010320
53042424001112323000
641454321101141332
72362216421344013
oct260552566740470
946886010711222
1012143313011000
113961a4a68a166
121441556b5a848
136a115676b102
142dda4d21237a
15160d1e914dd5
hexb0b55dbc138

12143313011000 has 64 divisors (see below), whose sum is σ = 28666816008480. Its totient is φ = 4814339980800.

The previous prime is 12143313010993. The next prime is 12143313011087. The reversal of 12143313011000 is 11031334121.

12143313011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121433130110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53618474 + ... + 53844473.

Almost surely, 212143313011000 is an apocalyptic number.

12143313011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12143313011000 is an abundant number, since it is smaller than the sum of its proper divisors (16523502997480).

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

12143313011000 is a wasteful number, since it uses less digits than its factorization.

12143313011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107463081 (or 107463067 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12143313011000 its reverse (11031334121), we get a palindrome (12154344345121).

The spelling of 12143313011000 in words is "twelve trillion, one hundred forty-three billion, three hundred thirteen million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 11300 14125 22600 28250 56500 113000 107462947 214925894 429851788 537314735 859703576 1074629470 2149258940 2686573675 4298517880 5373147350 10746294700 12143313011 13432868375 21492589400 24286626022 26865736750 48573252044 53731473500 60716565055 97146504088 107462947000 121433130110 242866260220 303582825275 485732520440 607165650550 1214331301100 1517914126375 2428662602200 3035828252750 6071656505500 12143313011000