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2134211442 = 2311192958687
BaseRepresentation
bin111111100110101…
…0111101101110010
312111201220011201020
41333031113231302
513332324231232
6551435320310
7103613332536
oct17715275562
95451804636
102134211442
119a5785710
124b68b0096
13280208a0c
14163633bc6
15c7573e2c
hex7f357b72

2134211442 has 64 divisors (see below), whose sum is σ = 5070643200. Its totient is φ = 591554880.

The previous prime is 2134211437. The next prime is 2134211447. The reversal of 2134211442 is 2441124312.

It is an interprime number because it is at equal distance from previous prime (2134211437) and next prime (2134211447).

It is not an unprimeable number, because it can be changed into a prime (2134211447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7023 + ... + 65709.

It is an arithmetic number, because the mean of its divisors is an integer number (79228800).

Almost surely, 22134211442 is an apocalyptic number.

2134211442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134211442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535321600).

2134211442 is an abundant number, since it is smaller than the sum of its proper divisors (2936431758).

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

2134211442 is a wasteful number, since it uses less digits than its factorization.

2134211442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58751.

The product of its digits is 1536, while the sum is 24.

The square root of 2134211442 is about 46197.5263623497. The cubic root of 2134211442 is about 1287.4957812034.

Adding to 2134211442 its reverse (2441124312), we get a palindrome (4575335754).

The spelling of 2134211442 in words is "two billion, one hundred thirty-four million, two hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 174 209 319 418 551 627 638 957 1102 1254 1653 1914 3306 6061 12122 18183 36366 58687 117374 176061 352122 645557 1115053 1291114 1701923 1936671 2230106 3345159 3403846 3873342 5105769 6690318 10211538 12265583 18721153 24531166 32336537 36796749 37442306 56163459 64673074 73593498 97009611 112326918 194019222 355701907 711403814 1067105721 2134211442