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2101680144 = 243214595001
BaseRepresentation
bin111110101000101…
…0001100000010000
312102110200102011100
41331101101200100
513301012231034
6544314144400
7103036662234
oct17521214020
95373612140
102101680144
11989386443
124a7a22100
13276558825
1415d1a65c4
15c479a099
hex7d451810

2101680144 has 30 divisors (see below), whose sum is σ = 5881785806. Its totient is φ = 700560000.

The previous prime is 2101680143. The next prime is 2101680167. The reversal of 2101680144 is 4410861012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2101305600 + 374544 = 45840^2 + 612^2 .

It is not an unprimeable number, because it can be changed into a prime (2101680143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7297357 + ... + 7297644.

Almost surely, 22101680144 is an apocalyptic number.

2101680144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2101680144 is an abundant number, since it is smaller than the sum of its proper divisors (3780105662).

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

2101680144 is a wasteful number, since it uses less digits than its factorization.

2101680144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14595015 (or 14595006 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2101680144 is about 45844.0851582841. The cubic root of 2101680144 is about 1280.9205909966.

The spelling of 2101680144 in words is "two billion, one hundred one million, six hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14595001 29190002 43785003 58380004 87570006 116760008 131355009 175140012 233520016 262710018 350280024 525420036 700560048 1050840072 2101680144