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2103431120 = 245728113367
BaseRepresentation
bin111110101011111…
…1100111111010000
312102120222101001022
41331113330333100
513301434243440
6544415455012
7103060604150
oct17527747720
95376871038
102103431120
1198a371a2a
124a8527468
13276a1c7cb
1415d500760
15c49e3cb5
hex7d5fcfd0

2103431120 has 80 divisors (see below), whose sum is σ = 5609426688. Its totient is φ = 718556160.

The previous prime is 2103431117. The next prime is 2103431123. The reversal of 2103431120 is 211343012.

It is an interprime number because it is at equal distance from previous prime (2103431117) and next prime (2103431123).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103431123) 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, 150677 + ... + 164043.

Almost surely, 22103431120 is an apocalyptic number.

2103431120 is a gapful number since it is divisible by the number (20) 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 2103431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804713344).

2103431120 is an abundant number, since it is smaller than the sum of its proper divisors (3505995568).

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

2103431120 is a wasteful number, since it uses less digits than its factorization.

2103431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13668 (or 13662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2103431120 is about 45863.1782588167. The cubic root of 2103431120 is about 1281.2762173656.

Adding to 2103431120 its reverse (211343012), we get a palindrome (2314774132).

The spelling of 2103431120 in words is "two billion, one hundred three million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 281 560 562 1124 1405 1967 2248 2810 3934 4496 5620 7868 9835 11240 13367 15736 19670 22480 26734 31472 39340 53468 66835 78680 93569 106936 133670 157360 187138 213872 267340 374276 467845 534680 748552 935690 1069360 1497104 1871380 3742760 3756127 7485520 7512254 15024508 18780635 26292889 30049016 37561270 52585778 60098032 75122540 105171556 131464445 150245080 210343112 262928890 300490160 420686224 525857780 1051715560 2103431120