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2120132058 = 2311294127017
BaseRepresentation
bin111111001011110…
…1010010111011010
312110202101212102120
41332113222113122
513320223211213
6550213442110
7103352553012
oct17627522732
95422355376
102120132058
11998839660
124b2040336
1327a319415
1416180ac42
15c61e2423
hex7e5ea5da

2120132058 has 64 divisors (see below), whose sum is σ = 4902145920. Its totient is φ = 605158400.

The previous prime is 2120132057. The next prime is 2120132059. The reversal of 2120132058 is 8502310212.

It is an interprime number because it is at equal distance from previous prime (2120132057) and next prime (2120132059).

It is not an unprimeable number, because it can be changed into a prime (2120132057) 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, 64966 + ... + 91982.

It is an arithmetic number, because the mean of its divisors is an integer number (76596030).

Almost surely, 22120132058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120132058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451072960).

2120132058 is an abundant number, since it is smaller than the sum of its proper divisors (2782013862).

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

2120132058 is a wasteful number, since it uses less digits than its factorization.

2120132058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27103.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2120132058 is about 46044.8917687945. The cubic root of 2120132058 is about 1284.6583310403.

The spelling of 2120132058 in words is "two billion, one hundred twenty million, one hundred thirty-two thousand, fifty-eight".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 123 174 246 319 451 638 902 957 1189 1353 1914 2378 2706 3567 7134 13079 26158 27017 39237 54034 78474 81051 162102 297187 594374 783493 891561 1107697 1566986 1783122 2215394 2350479 3323091 4700958 6646182 8618423 12184667 17236846 24369334 25855269 32123213 36554001 51710538 64246426 73108002 96369639 192739278 353355343 706710686 1060066029 2120132058