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2105301312 = 26327350069
BaseRepresentation
bin111110101111100…
…0101100101000000
312102201111101110200
41331133011211000
513302424120222
6544523525200
7103112523462
oct17537054500
95381441420
102105301312
1199042a044
124a9089800
13277225b2a
1415d86a132
15c4c62eac
hex7d7c5940

2105301312 has 84 divisors (see below), whose sum is σ = 6117252180. Its totient is φ = 692140032.

The previous prime is 2105301287. The next prime is 2105301323. The reversal of 2105301312 is 2131035012.

2105301312 is a `hidden beast` number, since 2 + 1 + 0 + 530 + 131 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1355417856 + 749883456 = 36816^2 + 27384^2 .

It is a super-2 number, since 2×21053013122 = 8864587228617842688, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17014 + ... + 67082.

Almost surely, 22105301312 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 2105301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058626090).

2105301312 is an abundant number, since it is smaller than the sum of its proper divisors (4011950868).

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

2105301312 is a wasteful number, since it uses less digits than its factorization.

2105301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50160 (or 50147 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2105301312 is about 45883.5625469514. The cubic root of 2105301312 is about 1281.6558388142.

Adding to 2105301312 its reverse (2131035012), we get a palindrome (4236336324).

The spelling of 2105301312 in words is "two billion, one hundred five million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3504 4672 5256 7008 10512 14016 21024 42048 50069 100138 150207 200276 300414 400552 450621 600828 801104 901242 1201656 1602208 1802484 2403312 3204416 3604968 3655037 4806624 7209936 7310074 9613248 10965111 14419872 14620148 21930222 28839744 29240296 32895333 43860444 58480592 65790666 87720888 116961184 131581332 175441776 233922368 263162664 350883552 526325328 701767104 1052650656 2105301312