Search a number
-
+
1100043106128 = 243423316611801
BaseRepresentation
bin10000000000011111101…
…011011011011101010000
310220011101220011210020000
4100000133223123131100
5121010342013344003
62201204113250000
7142322044060251
oct20003753333520
93804356153200
101100043106128
1139458672329a
12159242263900
137c96c9bb865
143b3570c8b28
151d9346681a3
hex1001fadb750

1100043106128 has 400 divisors, whose sum is σ = 3436537285632. Its totient is φ = 338722560000.

The previous prime is 1100043106093. The next prime is 1100043106139. The reversal of 1100043106128 is 8216013400011.

It is a happy number.

1100043106128 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 43 + 1 + 0 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 610794828 + ... + 610796628.

Almost surely, 21100043106128 is an apocalyptic number.

1100043106128 is a gapful number since it is divisible by the number (18) 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 1100043106128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718268642816).

1100043106128 is an abundant number, since it is smaller than the sum of its proper divisors (2336494179504).

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

1100043106128 is a wasteful number, since it uses less digits than its factorization.

1100043106128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 1100043106128 its reverse (8216013400011), we get a palindrome (9316056506139).

The spelling of 1100043106128 in words is "one trillion, one hundred billion, forty-three million, one hundred six thousand, one hundred twenty-eight".