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2134000116 = 223267884743
BaseRepresentation
bin111111100110010…
…0100000111110100
312111201111102211100
41333030210013310
513332301000431
6551431010100
7103611462453
oct17714440764
95451442740
102134000116
119a5650966
124b6809930
13280163781
141635bab9a
15c75314e6
hex7f3241f4

2134000116 has 36 divisors (see below), whose sum is σ = 5474795872. Its totient is φ = 700715664.

The previous prime is 2134000111. The next prime is 2134000129. The reversal of 2134000116 is 6110004312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439960 + ... + 444783.

Almost surely, 22134000116 is an apocalyptic number.

It is an amenable number.

2134000116 is an abundant number, since it is smaller than the sum of its proper divisors (3340795756).

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

2134000116 is a wasteful number, since it uses less digits than its factorization.

2134000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884820 (or 884815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2134000116 is about 46195.2391053450. The cubic root of 2134000116 is about 1287.4532845840.

Adding to 2134000116 its reverse (6110004312), we get a palindrome (8244004428).

The spelling of 2134000116 in words is "two billion, one hundred thirty-four million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 884743 1769486 2654229 3538972 5308458 7962687 10616916 15925374 31850748 59277781 118555562 177833343 237111124 355666686 533500029 711333372 1067000058 2134000116