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2002202120000 = 2654431164071
BaseRepresentation
bin11101001000101100100…
…010111100111101000000
321002102000220112010201002
4131020230202330331000
5230301002220320000
64131444324031132
7264440302134005
oct35105442747500
97072026463632
102002202120000
11702146999175
122840595324a8
13116a64858964
146cc9b11d8ac
15371364b78d5
hex1d22c8bcf40

2002202120000 has 140 divisors (see below), whose sum is σ = 5080275616416. Its totient is φ = 782255040000.

The previous prime is 2002202119999. The next prime is 2002202120003. The reversal of 2002202120000 is 212022002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002202120003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1137965 + ... + 2302035.

Almost surely, 22002202120000 is an apocalyptic number.

2002202120000 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 2002202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540137808208).

2002202120000 is an abundant number, since it is smaller than the sum of its proper divisors (3078073496416).

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

2002202120000 is an equidigital number, since it uses as much as digits as its factorization.

2002202120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164146 (or 1164121 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002202120000 its reverse (212022002), we get a palindrome (2002414142002).

The spelling of 2002202120000 in words is "two trillion, two billion, two hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 160 172 200 215 250 320 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1600 1720 2000 2150 2500 2752 3440 4000 4300 5000 5375 6880 8000 8600 10000 10750 13760 17200 20000 21500 26875 34400 40000 43000 53750 68800 86000 107500 172000 215000 344000 430000 860000 1164071 1720000 2328142 4656284 5820355 9312568 11640710 18625136 23281420 29101775 37250272 46562840 50055053 58203550 74500544 93125680 100110106 116407100 145508875 186251360 200220212 232814200 250275265 291017750 372502720 400440424 465628400 500550530 582035500 727544375 800880848 931256800 1001101060 1164071000 1251376325 1455088750 1601761696 1862513600 2002202120 2328142000 2502752650 2910177500 3203523392 4004404240 4656284000 5005505300 5820355000 6256881625 8008808480 9312568000 10011010600 11640710000 12513763250 16017616960 20022021200 23281420000 25027526500 31284408125 40044042400 46562840000 50055053000 62568816250 80088084800 100110106000 125137632500 200220212000 250275265000 400440424000 500550530000 1001101060000 2002202120000