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2130110304 = 253713124197
BaseRepresentation
bin111111011110110…
…1110011101100000
312111110011211000020
41332331232131200
513330302012204
6551211353440
7103533432060
oct17675563540
95443154006
102130110304
119a3434443
124b5452880
1327c4010ca
14162c873a0
15c7013bd9
hex7ef6e760

2130110304 has 96 divisors (see below), whose sum is σ = 6439378176. Its totient is φ = 603932160.

The previous prime is 2130110299. The next prime is 2130110309. The reversal of 2130110304 is 4030110312.

It is an interprime number because it is at equal distance from previous prime (2130110299) and next prime (2130110309).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130110309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75934 + ... + 100130.

It is an arithmetic number, because the mean of its divisors is an integer number (67076856).

Almost surely, 22130110304 is an apocalyptic number.

2130110304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219689088).

2130110304 is an abundant number, since it is smaller than the sum of its proper divisors (4309267872).

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

2130110304 is a wasteful number, since it uses less digits than its factorization.

2130110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24348 (or 24340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2130110304 is about 46153.1180311796. The cubic root of 2130110304 is about 1286.6705609280.

Adding to 2130110304 its reverse (4030110312), we get a palindrome (6160220616).

The spelling of 2130110304 in words is "two billion, one hundred thirty million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 262 336 393 524 672 786 917 1048 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 11004 12576 14672 22008 24197 29344 44016 48394 72591 88032 96788 145182 169379 193576 290364 338758 387152 508137 580728 677516 774304 1016274 1161456 1355032 2032548 2322912 2710064 3169807 4065096 5420128 6339614 8130192 9509421 12679228 16260384 19018842 22188649 25358456 38037684 44377298 50716912 66565947 76075368 88754596 101433824 133131894 152150736 177509192 266263788 304301472 355018384 532527576 710036768 1065055152 2130110304