Search a number
-
+
2103101312 = 27133734159
BaseRepresentation
bin111110101011010…
…1100011110000000
312102120100121122012
41331112230132000
513301343220222
6544404432052
7103055031464
oct17526543600
95376317565
102103101312
1198a167164
124a83a8628
13276935660
1415d4564a4
15c497b1e2
hex7d5ac780

2103101312 has 64 divisors (see below), whose sum is σ = 4634145600. Its totient is φ = 944400384.

The previous prime is 2103101303. The next prime is 2103101327. The reversal of 2103101312 is 2131013012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21031013122 = 8846070257072242688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44489 + ... + 78647.

It is an arithmetic number, because the mean of its divisors is an integer number (72408525).

Almost surely, 22103101312 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 2103101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317072800).

2103101312 is an abundant number, since it is smaller than the sum of its proper divisors (2531044288).

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

2103101312 is a wasteful number, since it uses less digits than its factorization.

2103101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34223 (or 34211 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2103101312 is about 45859.5825537041. The cubic root of 2103101312 is about 1281.2092478587.

Adding to 2103101312 its reverse (2131013012), we get a palindrome (4234114324).

The spelling of 2103101312 in words is "two billion, one hundred three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1184 1664 1924 2368 3848 4736 7696 15392 30784 34159 61568 68318 136636 273272 444067 546544 888134 1093088 1263883 1776268 2186176 2527766 3552536 4372352 5055532 7105072 10111064 14210144 16430479 20222128 28420288 32860958 40444256 56840576 65721916 80888512 131443832 161777024 262887664 525775328 1051550656 2103101312