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10200002002020 = 22325811679110289
BaseRepresentation
bin1001010001101101111101…
…1111101111110001100100
31100010002222200021122120200
42110123133133233301210
52314104101003031040
633405452150030500
72101632362330145
oct224333737576144
940102880248520
1010200002002020
113282884242386
1211889b4048430
1358cb189c8a0c
1427397b5b1acc
1512a4d3660630
hex946df7efc64

10200002002020 has 144 divisors (see below), whose sum is σ = 30985729407360. Its totient is φ = 2715982617600.

The previous prime is 10200002002019. The next prime is 10200002002031. The reversal of 10200002002020 is 2020020000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200002001993 and 10200002002011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991345036 + ... + 991355324.

It is an arithmetic number, because the mean of its divisors is an integer number (215178676440).

Almost surely, 210200002002020 is an apocalyptic number.

10200002002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200002002020 is an abundant number, since it is smaller than the sum of its proper divisors (20785727405340).

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

10200002002020 is a wasteful number, since it uses less digits than its factorization.

10200002002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17906 (or 17901 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10200002002020 its reverse (2020020000201), we get a palindrome (12220022002221).

The spelling of 10200002002020 in words is "ten trillion, two hundred billion, two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 811 1622 2433 3244 4055 4866 6791 7299 8110 9732 10289 12165 13582 14598 16220 20373 20578 24330 27164 29196 30867 33955 36495 40746 41156 48660 51445 61119 61734 67910 72990 81492 92601 101865 102890 122238 123468 135820 145980 154335 185202 203730 205780 244476 305595 308670 370404 407460 463005 611190 617340 926010 1222380 1852020 5507501 8344379 11015002 16522503 16688758 22030004 25033137 27537505 33045006 33377516 41721895 49567509 50066274 55075010 66090012 69872599 75099411 82612515 83443790 99135018 100132548 110150020 125165685 139745198 150198822 165225030 166887580 198270036 209617797 247837545 250331370 279490396 300397644 330450060 349362995 375497055 419235594 495675090 500662740 628853391 698725990 750994110 838471188 991350180 1048088985 1257706782 1397451980 1501988220 2096177970 2515413564 3144266955 4192355940 6288533910 12577067820 56666677789 113333355578 170000033367 226666711156 283333388945 340000066734 510000100101 566666777890 680000133468 850000166835 1020000200202 1133333555780 1700000333670 2040000400404 2550000500505 3400000667340 5100001001010 10200002002020