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2100084372 = 223258335677
BaseRepresentation
bin111110100101100…
…1011111010010100
312102100200100011200
41331023023322110
513300110144442
6544220032500
7103020264651
oct17513137224
95370610150
102100084372
11988496521
124a7392730
1327611a399
1415ccacc28
15c458234c
hex7d2cbe94

2100084372 has 18 divisors (see below), whose sum is σ = 5308546698. Its totient is φ = 700028112.

The previous prime is 2100084347. The next prime is 2100084377. The reversal of 2100084372 is 2734800012.

2100084372 is a `hidden beast` number, since 210 + 0 + 0 + 84 + 372 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2090867076 + 9217296 = 45726^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100084377) 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, 29167803 + ... + 29167874.

It is an arithmetic number, because the mean of its divisors is an integer number (294919261).

Almost surely, 22100084372 is an apocalyptic number.

It is an amenable number.

2100084372 is an abundant number, since it is smaller than the sum of its proper divisors (3208462326).

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

2100084372 is a wasteful number, since it uses less digits than its factorization.

2100084372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58335687 (or 58335682 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2100084372 is about 45826.6775143038. The cubic root of 2100084372 is about 1280.5963147618.

Adding to 2100084372 its reverse (2734800012), we get a palindrome (4834884384).

The spelling of 2100084372 in words is "two billion, one hundred million, eighty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 58335677 116671354 175007031 233342708 350014062 525021093 700028124 1050042186 2100084372