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2142112203 = 337111030357
BaseRepresentation
bin111111110101110…
…0000100111001011
312112021202120112000
41333223200213023
513341340042303
6552320522043
7104040440040
oct17753404713
95467676460
102142112203
119aa191670
124b9480323
13281a43c1a
141646cd1c7
15c80d4da3
hex7fae09cb

2142112203 has 32 divisors (see below), whose sum is σ = 3956574720. Its totient is φ = 1112784480.

The previous prime is 2142112201. The next prime is 2142112213. The reversal of 2142112203 is 3022112412.

It is a happy number.

2142112203 is a `hidden beast` number, since 21 + 421 + 1 + 220 + 3 = 666.

It is not a de Polignac number, because 2142112203 - 21 = 2142112201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142112201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 513100 + ... + 517257.

It is an arithmetic number, because the mean of its divisors is an integer number (123642960).

Almost surely, 22142112203 is an apocalyptic number.

2142112203 is a deficient number, since it is larger than the sum of its proper divisors (1814462517).

2142112203 is a wasteful number, since it uses less digits than its factorization.

2142112203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030384 (or 1030378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142112203 is about 46282.9580191241. The cubic root of 2142112203 is about 1289.0825764728.

Adding to 2142112203 its reverse (3022112412), we get a palindrome (5164224615).

The spelling of 2142112203 in words is "two billion, one hundred forty-two million, one hundred twelve thousand, two hundred three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 1030357 3091071 7212499 9273213 11333927 21637497 27819639 34001781 64912491 79337489 102005343 194737473 238012467 306016029 714037401 2142112203