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2105343120 = 243571123553
BaseRepresentation
bin111110101111100…
…1111110010010000
312102201120111211010
41331133033302100
513302431434440
6544524450520
7103113056406
oct17537176220
95381514733
102105343120
119904584a1
124a90a9a40
1327723bb7a
1415d87b476
15c4c70580
hex7d7cfc90

2105343120 has 80 divisors (see below), whose sum is σ = 6618540672. Its totient is φ = 553512960.

The previous prime is 2105343109. The next prime is 2105343139. The reversal of 2105343120 is 213435012.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44737 + ... + 78816.

Almost surely, 22105343120 is an apocalyptic number.

2105343120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105343120 is an abundant number, since it is smaller than the sum of its proper divisors (4513197552).

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

2105343120 is a wasteful number, since it uses less digits than its factorization.

2105343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123640 (or 123634 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2105343120 is about 45884.0181326788. The cubic root of 2105343120 is about 1281.6643226533.

Adding to 2105343120 its reverse (213435012), we get a palindrome (2318778132).

The spelling of 2105343120 in words is "two billion, one hundred five million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 123553 247106 370659 494212 617765 741318 988424 1235530 1482636 1853295 1976848 2471060 2965272 3706590 4942120 5930544 7413180 8772263 9884240 14826360 17544526 26316789 29652720 35089052 43861315 52633578 70178104 87722630 105267156 131583945 140356208 175445260 210534312 263167890 350890520 421068624 526335780 701781040 1052671560 2105343120