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2142116089 = 31214932
BaseRepresentation
bin111111110101110…
…0001100011111001
312112021202202211221
41333223201203321
513341340203324
6552320552041
7104040454261
oct17753414371
95467682757
102142116089
119aa194583
124b9482621
13281a45919
141646d07a1
15c80d60e4
hex7fae18f9

2142116089 has 9 divisors (see below), whose sum is σ = 2214929199. Its totient is φ = 2071627080.

The previous prime is 2142116083. The next prime is 2142116101. The reversal of 2142116089 is 9806112412.

It is a happy number.

The square root of 2142116089 is 46283.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1870130025 + 271986064 = 43245^2 + 16492^2 .

It is not a de Polignac number, because 2142116089 - 213 = 2142107897 is a prime.

It is a super-2 number, since 2×21421160892 = 9177322677505311842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2142116083) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1434027 + ... + 1435519.

Almost surely, 22142116089 is an apocalyptic number.

2142116089 is the 46283-rd square number.

2142116089 is the 23142-nd centered octagonal number.

It is an amenable number.

2142116089 is a deficient number, since it is larger than the sum of its proper divisors (72813110).

2142116089 is an frugal number, since it uses more digits than its factorization.

2142116089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The cubic root of 2142116089 is about 1289.0833559794.

The spelling of 2142116089 in words is "two billion, one hundred forty-two million, one hundred sixteen thousand, eighty-nine".

Divisors: 1 31 961 1493 46283 1434773 2229049 69100519 2142116089