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2124203116 = 2275191663
BaseRepresentation
bin111111010011100…
…1100010001101100
312111001001200212111
41332213030101230
513322243444431
6550441013404
7103432300000
oct17647142154
95431050774
102124203116
119a006a272
124b3484264
1327b113429
1416218a700
15c67487b1
hex7e9cc46c

2124203116 has 72 divisors (see below), whose sum is σ = 4567879680. Its totient is φ = 861939792.

The previous prime is 2124203099. The next prime is 2124203119. The reversal of 2124203116 is 6113024212.

It is not an unprimeable number, because it can be changed into a prime (2124203119) 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 23 ways as a sum of consecutive naturals, for example, 1276501 + ... + 1278163.

Almost surely, 22124203116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124203116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283939840).

2124203116 is an abundant number, since it is smaller than the sum of its proper divisors (2443676564).

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

2124203116 is an equidigital number, since it uses as much as digits as its factorization.

2124203116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2124203116 is about 46089.0780554352. The cubic root of 2124203116 is about 1285.4800683219.

Adding to 2124203116 its reverse (6113024212), we get a palindrome (8237227328).

The spelling of 2124203116 in words is "two billion, one hundred twenty-four million, two hundred three thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1372 1663 1862 2401 3326 3724 4802 6517 6652 9604 11641 13034 16807 23282 26068 31597 33614 45619 46564 63194 67228 81487 91238 126388 162974 182476 221179 319333 325948 442358 570409 638666 884716 1140818 1277332 1548253 2281636 3096506 3992863 6193012 7985726 10837771 15971452 21675542 27950041 43351084 55900082 75864397 111800164 151728794 303457588 531050779 1062101558 2124203116