Search a number
-
+
2130110316 = 2232233122677
BaseRepresentation
bin111111011110110…
…1110011101101100
312111110011211000200
41332331232131230
513330302012231
6551211353500
7103533432105
oct17675563554
95443154020
102130110316
119a3434454
124b5452890
1327c401109
14162c873ac
15c7013be6
hex7ef6e76c

2130110316 has 108 divisors (see below), whose sum is σ = 5807810736. Its totient is φ = 657011520.

The previous prime is 2130110309. The next prime is 2130110317. The reversal of 2130110316 is 6130110312.

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

It is not an unprimeable number, because it can be changed into a prime (2130110317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794370 + ... + 797046.

Almost surely, 22130110316 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 2130110316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903905368).

2130110316 is an abundant number, since it is smaller than the sum of its proper divisors (3677700420).

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

2130110316 is a wasteful number, since it uses less digits than its factorization.

2130110316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2130110316 is about 46153.1181611817. The cubic root of 2130110316 is about 1286.6705633441.

Adding to 2130110316 its reverse (6130110312), we get a palindrome (8260220628).

The spelling of 2130110316 in words is "two billion, one hundred thirty million, one hundred ten thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 961 1116 1426 1922 2139 2677 2852 2883 3844 4278 5354 5766 6417 8031 8556 8649 10708 11532 12834 16062 17298 22103 24093 25668 32124 34596 44206 48186 61571 66309 82987 88412 96372 123142 132618 165974 184713 198927 246284 248961 265236 331948 369426 397854 497922 554139 738852 746883 795708 995844 1108278 1493766 1908701 2216556 2572597 2987532 3817402 5145194 5726103 7634804 7717791 10290388 11452206 15435582 17178309 22904412 23153373 30871164 34356618 46306746 59169731 68713236 92613492 118339462 177509193 236678924 355018386 532527579 710036772 1065055158 2130110316