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2123202132 = 223424372689
BaseRepresentation
bin111111010001101…
…0111111001010100
312110222011211210000
41332203113321110
513322014432012
6550403331300
7103420630452
oct17643277124
95428154700
102123202132
1199a546207
124b3080b30
1327ab5292c
14161da99d2
15c65ebddc
hex7e8d7e54

2123202132 has 60 divisors (see below), whose sum is σ = 5554812340. Its totient is φ = 707180544.

The previous prime is 2123202127. The next prime is 2123202157. The reversal of 2123202132 is 2312023212.

2123202132 is a `hidden beast` number, since 212 + 320 + 2 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1005904656 + 1117297476 = 31716^2 + 33426^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 788244 + ... + 790932.

Almost surely, 22123202132 is an apocalyptic number.

It is an amenable number.

2123202132 is an abundant number, since it is smaller than the sum of its proper divisors (3431610208).

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

2123202132 is a wasteful number, since it uses less digits than its factorization.

2123202132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123202132 is about 46078.2175436507. The cubic root of 2123202132 is about 1285.2781185271.

Adding to 2123202132 its reverse (2312023212), we get a palindrome (4435225344).

The spelling of 2123202132 in words is "two billion, one hundred twenty-three million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2437 2689 4874 5378 7311 8067 9748 10756 14622 16134 21933 24201 29244 32268 43866 48402 65799 72603 87732 96804 131598 145206 197397 217809 263196 290412 394794 435618 789588 871236 6553093 13106186 19659279 26212372 39318558 58977837 78637116 117955674 176933511 235911348 353867022 530800533 707734044 1061601066 2123202132