Search a number
-
+
2130116310 = 2325718111867
BaseRepresentation
bin111111011110110…
…1111111011010110
312111110012010020200
41332331233323112
513330302210220
6551211441330
7103533455430
oct17675577326
95443163220
102130116310
119a3438a03
124b5456246
1327c403a6a
14162c89650
15c7015890
hex7ef6fed6

2130116310 has 96 divisors (see below), whose sum is σ = 6336375552. Its totient is φ = 486354240.

The previous prime is 2130116309. The next prime is 2130116311. The reversal of 2130116310 is 136110312.

2130116310 is a `hidden beast` number, since 2 + 1 + 30 + 1 + 1 + 631 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2130116309) and next prime (2130116311).

It is a super-2 number, since 2×21301163102 = 9074790988256032200, which contains 22 as substring.

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 (2130116311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139997 + ... + 1141863.

It is an arithmetic number, because the mean of its divisors is an integer number (66003912).

Almost surely, 22130116310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130116310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168187776).

2130116310 is an abundant number, since it is smaller than the sum of its proper divisors (4206259242).

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

2130116310 is a wasteful number, since it uses less digits than its factorization.

2130116310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3695 counting only the distinct ones).

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

The square root of 2130116310 is about 46153.1830971603. The cubic root of 2130116310 is about 1286.6717702137.

Adding to 2130116310 its reverse (136110312), we get a palindrome (2266226622).

The spelling of 2130116310 in words is "two billion, one hundred thirty million, one hundred sixteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1811 1867 3622 3734 5433 5601 9055 9335 10866 11202 12677 13069 16299 16803 18110 18670 25354 26138 27165 28005 32598 33606 38031 39207 54330 56010 63385 65345 76062 78414 81495 84015 114093 117621 126770 130690 162990 168030 190155 196035 228186 235242 380310 392070 570465 588105 1140930 1176210 3381137 6762274 10143411 16905685 20286822 23667959 30430233 33811370 47335918 50717055 60860466 71003877 101434110 118339795 142007754 152151165 213011631 236679590 304302330 355019385 426023262 710038770 1065058155 2130116310