Search a number
-
+
2111154881040 = 243358988312437
BaseRepresentation
bin11110101110001010101…
…000110000001000010000
321110211021000100212022000
4132232022220300020100
5234042121122143130
64253503503514000
7305345246255442
oct36561250601020
97424230325260
102111154881040
11744376990137
122a11a55b8900
131241090b8c2a
14742751ba492
1539db169c260
hex1eb8aa30210

2111154881040 has 320 divisors, whose sum is σ = 7362380563200. Its totient is φ = 555973963776.

The previous prime is 2111154881023. The next prime is 2111154881047. The reversal of 2111154881040 is 401884511112.

2111154881040 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 1 + 548 + 8 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2111154880986 and 2111154881004.

It is not an unprimeable number, because it can be changed into a prime (2111154881047) 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, 169741702 + ... + 169754138.

It is an arithmetic number, because the mean of its divisors is an integer number (23007439260).

Almost surely, 22111154881040 is an apocalyptic number.

2111154881040 is a gapful number since it is divisible by the number (20) 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 2111154881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681190281600).

2111154881040 is an abundant number, since it is smaller than the sum of its proper divisors (5251225682160).

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

2111154881040 is a wasteful number, since it uses less digits than its factorization.

2111154881040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13431 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 2111154881040 in words is "two trillion, one hundred eleven billion, one hundred fifty-four million, eight hundred eighty-one thousand, forty".