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2105130120 = 2335712111171
BaseRepresentation
bin111110101111001…
…1011110010001000
312102201011200122020
41331132123302020
513302403130440
6544520124440
7103111211412
oct17536336210
95381150566
102105130120
11990322465
124a9006720
13277195c32
1415d8239b2
15c4c2c3d0
hex7d79bc88

2105130120 has 128 divisors (see below), whose sum is σ = 6440186880. Its totient is φ = 550368000.

The previous prime is 2105130103. The next prime is 2105130187. The reversal of 2105130120 is 210315012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2105130120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797135 + ... + 1798305.

It is an arithmetic number, because the mean of its divisors is an integer number (50313960).

Almost surely, 22105130120 is an apocalyptic number.

2105130120 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 2105130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220093440).

2105130120 is an abundant number, since it is smaller than the sum of its proper divisors (4335056760).

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

2105130120 is a wasteful number, since it uses less digits than its factorization.

2105130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2105130120 is about 45881.6970043611. The cubic root of 2105130120 is about 1281.6210987080.

Adding to 2105130120 its reverse (210315012), we get a palindrome (2315445132).

The spelling of 2105130120 in words is "two billion, one hundred five million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 211 213 284 355 422 426 568 633 710 844 852 1055 1065 1171 1266 1420 1688 1704 2110 2130 2342 2532 2840 3165 3513 4220 4260 4684 5064 5855 6330 7026 8440 8520 9368 11710 12660 14052 14981 17565 23420 25320 28104 29962 35130 44943 46840 59924 70260 74905 83141 89886 119848 140520 149810 166282 179772 224715 247081 249423 299620 332564 359544 415705 449430 494162 498846 599240 665128 741243 831410 898860 988324 997692 1235405 1247115 1482486 1662820 1797720 1976648 1995384 2470810 2494230 2964972 3325640 3706215 4941620 4988460 5929944 7412430 9883240 9976920 14824860 17542751 29649720 35085502 52628253 70171004 87713755 105256506 140342008 175427510 210513012 263141265 350855020 421026024 526282530 701710040 1052565060 2105130120