Search a number
-
+
2110131072 = 27327261673
BaseRepresentation
bin111110111000110…
…0000101110000000
312110001120202122200
41331301200232000
513310143143242
6545215233200
7103201550430
oct17561405600
95401522580
102110131072
11993128785
124aa818800
1327822728a
141603662c0
15c53b904c
hex7dc60b80

2110131072 has 96 divisors (see below), whose sum is σ = 6939594480. Its totient is φ = 602892288.

The previous prime is 2110131041. The next prime is 2110131073. The reversal of 2110131072 is 2701310112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110131073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122773 + ... + 138900.

Almost surely, 22110131072 is an apocalyptic number.

It is an amenable number.

2110131072 is an abundant number, since it is smaller than the sum of its proper divisors (4829463408).

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

2110131072 is a wasteful number, since it uses less digits than its factorization.

2110131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261700 (or 261685 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2110131072 is about 45936.1630091152. The cubic root of 2110131072 is about 1282.6351701404.

Adding to 2110131072 its reverse (2701310112), we get a palindrome (4811441184).

The spelling of 2110131072 in words is "two billion, one hundred ten million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 261673 523346 785019 1046692 1570038 1831711 2093384 2355057 3140076 3663422 4186768 4710114 5495133 6280152 7326844 8373536 9420228 10990266 12560304 14653688 16485399 16747072 18840456 21980532 25120608 29307376 32970798 33494144 37680912 43961064 50241216 58614752 65941596 75361824 87922128 100482432 117229504 131883192 150723648 175844256 234459008 263766384 301447296 351688512 527532768 703377024 1055065536 2110131072