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122020210000 = 245413938617
BaseRepresentation
bin111000110100011111…
…0001010010101010000
3102122221210112220122001
41301220332022111100
53444344133210000
6132015540323344
711546526446323
oct1615076122520
9378853486561
10122020210000
1147826255867
121b7943a3554
13b6778b95c0
145c977827ba
15329250b46a
hex1c68f8a550

122020210000 has 100 divisors (see below), whose sum is σ = 318148325572. Its totient is φ = 45053568000.

The previous prime is 122020209977. The next prime is 122020210033. The reversal of 122020210000 is 12020221.

It can be written as a sum of positive squares in 10 ways, for example, as 121547060496 + 473149504 = 348636^2 + 21752^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 19 ways as a sum of consecutive naturals, for example, 339309 + ... + 599308.

Almost surely, 2122020210000 is an apocalyptic number.

122020210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020210000 is an abundant number, since it is smaller than the sum of its proper divisors (196128115572).

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

122020210000 is an equidigital number, since it uses as much as digits as its factorization.

122020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938658 (or 938637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122020210000 its reverse (12020221), we get a palindrome (122032230221).

The spelling of 122020210000 in words is "one hundred twenty-two billion, twenty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 938617 1877234 3754468 4693085 7508936 9386170 12202021 15017872 18772340 23465425 24404042 37544680 46930850 48808084 61010105 75089360 93861700 97616168 117327125 122020210 187723400 195232336 234654250 244040420 305050525 375446800 469308500 488080840 586635625 610101050 938617000 976161680 1173271250 1220202100 1525252625 1877234000 2346542500 2440404200 3050505250 4693085000 4880808400 6101010500 7626263125 9386170000 12202021000 15252526250 24404042000 30505052500 61010105000 122020210000