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2148111360 = 21033541379
BaseRepresentation
bin1000000000001001…
…1001010000000000
312112201001100211000
42000002121100000
513344404030420
6553053252000
7104142434223
oct20002312000
95481040730
102148111360
11a0260994a
124bb494000
13283064715
141654115ba
15c88bc690
hex80099400

2148111360 has 352 divisors, whose sum is σ = 7840828800. Its totient is φ = 557383680.

The previous prime is 2148111307. The next prime is 2148111373. The reversal of 2148111360 is 631118412.

It is a happy number.

2148111360 is a `hidden beast` number, since 214 + 81 + 11 + 360 = 666.

It is a super-2 number, since 2×21481113602 = 9228764829922099200, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5667651 + ... + 5668029.

Almost surely, 22148111360 is an apocalyptic number.

2148111360 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 2148111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920414400).

2148111360 is an abundant number, since it is smaller than the sum of its proper divisors (5692717440).

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

2148111360 is a wasteful number, since it uses less digits than its factorization.

2148111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 430 counting only the distinct ones).

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

The square root of 2148111360 is about 46347.7222741312. The cubic root of 2148111360 is about 1290.2848478600.

Adding to 2148111360 its reverse (631118412), we get a palindrome (2779229772).

The spelling of 2148111360 in words is "two billion, one hundred forty-eight million, one hundred eleven thousand, three hundred sixty".