Search a number
-
+
1124133032000 = 265311291393169
BaseRepresentation
bin10000010110111011100…
…011001101000001000000
310222110120202121211000202
4100112323203031001000
5121404211024011000
62220230344104332
7144134031054266
oct20267343150100
93873522554022
101124133032000
113a3818877140
12161a45a650a8
138200b812174
143c5a0652436
151e3944bddd5
hex105bb8cd040

1124133032000 has 448 divisors, whose sum is σ = 3165323616000. Its totient is φ = 391716864000.

The previous prime is 1124133031981. The next prime is 1124133032003. The reversal of 1124133032000 is 2303314211.

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

It is not an unprimeable number, because it can be changed into a prime (1124133032003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354726416 + ... + 354729584.

It is an arithmetic number, because the mean of its divisors is an integer number (7065454500).

Almost surely, 21124133032000 is an apocalyptic number.

1124133032000 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 1124133032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582661808000).

1124133032000 is an abundant number, since it is smaller than the sum of its proper divisors (2041190584000).

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

1124133032000 is a wasteful number, since it uses less digits than its factorization.

1124133032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1124133032000 its reverse (2303314211), we get a palindrome (1126436346211).

It can be divided in two parts, 112413 and 3032000, that added together give a palindrome (3144413).

The spelling of 1124133032000 in words is "one trillion, one hundred twenty-four billion, one hundred thirty-three million, thirty-two thousand".