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14020201020 = 2235771470161
BaseRepresentation
bin11010000111010101…
…10100101000111100
31100012002111000011110
431003222310220330
5212203132413040
610235113322020
71004301512430
oct150352645074
940162430143
1014020201020
115a450465a1
122873406310
131425862947
149700549c0
15570cc3980
hex343ab4a3c

14020201020 has 96 divisors (see below), whose sum is σ = 45496636416. Its totient is φ = 3159475200.

The previous prime is 14020201009. The next prime is 14020201037. The reversal of 14020201020 is 2010202041.

14020201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14020200987 and 14020201005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205261 + ... + 264900.

It is an arithmetic number, because the mean of its divisors is an integer number (473923296).

Almost surely, 214020201020 is an apocalyptic number.

14020201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14020201020 is an abundant number, since it is smaller than the sum of its proper divisors (31476435396).

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

14020201020 is a wasteful number, since it uses less digits than its factorization.

14020201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470251 (or 470249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14020201020 its reverse (2010202041), we get a palindrome (16030403061).

The spelling of 14020201020 in words is "fourteen billion, twenty million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14910 29820 470161 940322 1410483 1880644 2350805 2820966 3291127 4701610 5641932 6582254 7052415 9403220 9873381 13164508 14104830 16455635 19746762 28209660 32911270 33381431 39493524 49366905 65822540 66762862 98733810 100144293 133525724 166907155 197467620 200288586 233670017 333814310 400577172 467340034 500721465 667628620 701010051 934680068 1001442930 1168350085 1402020102 2002885860 2336700170 2804040204 3505050255 4673400340 7010100510 14020201020