Search a number
-
+
13023121233000 = 2335373239248813
BaseRepresentation
bin1011110110000010111010…
…0000111101010001101000
31201002222221201011212021110
42331200232200331101220
53201332323013424000
643410423404510320
72512614041006064
oct275405640752150
951088851155243
1013023121233000
11417109047331a
121563b74b4b3a0
137360c8bb3788
14330472a70aa4
15178b64442850
hexbd82e83d468

13023121233000 has 256 divisors, whose sum is σ = 41361246950400. Its totient is φ = 3410913945600.

The previous prime is 13023121232959. The next prime is 13023121233037. The reversal of 13023121233000 is 33212132031.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52216594 + ... + 52465406.

It is an arithmetic number, because the mean of its divisors is an integer number (161567370900).

Almost surely, 213023121233000 is an apocalyptic number.

13023121233000 is a gapful number since it is divisible by the number (10) 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 13023121233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20680623475200).

13023121233000 is an abundant number, since it is smaller than the sum of its proper divisors (28338125717400).

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

13023121233000 is a wasteful number, since it uses less digits than its factorization.

13023121233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249149 (or 249135 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13023121233000 its reverse (33212132031), we get a palindrome (13056333365031).

The spelling of 13023121233000 in words is "thirteen trillion, twenty-three billion, one hundred twenty-one million, two hundred thirty-three thousand".