Search a number
-
+
2112003801024 = 263138370114543
BaseRepresentation
bin11110101110111101001…
…111000111111111000000
321110220110011202110120220
4132232331033013333000
5234100340433113044
64254124031103040
7305405265051015
oct36567517077700
97426404673526
102112003801024
117447720a42a7
122a13a1971a80
13124212c39750
1474315c3b70c
1539e10e89019
hex1ebbd3c7fc0

2112003801024 has 224 divisors, whose sum is σ = 6099468770304. Its totient is φ = 641057894400.

The previous prime is 2112003800927. The next prime is 2112003801073. The reversal of 2112003801024 is 4201083002112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2112003800985 and 2112003801003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145217497 + ... + 145232039.

It is an arithmetic number, because the mean of its divisors is an integer number (27229771296).

Almost surely, 22112003801024 is an apocalyptic number.

2112003801024 is a gapful number since it is divisible by the number (24) 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 2112003801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049734385152).

2112003801024 is an abundant number, since it is smaller than the sum of its proper divisors (3987464969280).

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

2112003801024 is a wasteful number, since it uses less digits than its factorization.

2112003801024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15355 (or 15345 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2112003801024 its reverse (4201083002112), we get a palindrome (6313086803136).

The spelling of 2112003801024 in words is "two trillion, one hundred twelve billion, three million, eight hundred one thousand, twenty-four".