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2141084106 = 232723765609
BaseRepresentation
bin111111110011110…
…0101100111001010
312112012211100020100
41333213211213022
513341104142411
6552242510230
7104025625500
oct17747454712
95465740210
102141084106
119a964a1a7
124b9065376
13281773c95
14164502670
15c7e80456
hex7f9e59ca

2141084106 has 72 divisors (see below), whose sum is σ = 5542339140. Its totient is φ = 595195776.

The previous prime is 2141084081. The next prime is 2141084119. The reversal of 2141084106 is 6014801412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1713214881 + 427869225 = 41391^2 + 20685^2 .

It is a super-2 number, since 2×21410841062 = 9168482297931638472, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2141084106.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171 + ... + 65438.

Almost surely, 22141084106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141084106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771169570).

2141084106 is an abundant number, since it is smaller than the sum of its proper divisors (3401255034).

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

2141084106 is a wasteful number, since it uses less digits than its factorization.

2141084106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65668 (or 65658 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2141084106 is about 46271.8500386574. The cubic root of 2141084106 is about 1288.8763136996.

Adding to 2141084106 its reverse (6014801412), we get a palindrome (8155885518).

The spelling of 2141084106 in words is "two billion, one hundred forty-one million, eighty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1813 2331 3626 4662 5439 10878 16317 32634 65609 131218 196827 393654 459263 590481 918526 1180962 1377789 2427533 2755578 3214841 4133367 4855066 6429682 7282599 8266734 9644523 14565198 16992731 19289046 21847797 28933569 33985462 43695594 50978193 57867138 101956386 118949117 152934579 237898234 305869158 356847351 713694702 1070542053 2141084106