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21111001222000 = 245387359120829
BaseRepresentation
bin1001100110011010010011…
…01110101000101101110000
32202202012011222021020220011
410303031021232220231300
510231340312303101000
6112522132102024304
74306135201421644
oct463151156505560
982665158236804
1021111001222000
1167aa141910a38
12244b553718094
13ba19b3323911
1452dac6832c24
1526922b5682ba
hex133349ba8b70

21111001222000 has 80 divisors (see below), whose sum is σ = 51047407756800. Its totient is φ = 8444233939200.

The previous prime is 21111001221977. The next prime is 21111001222007. The reversal of 21111001222000 is 22210011112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×211110012220004 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111001222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174657586 + ... + 174778414.

It is an arithmetic number, because the mean of its divisors is an integer number (638092596960).

Almost surely, 221111001222000 is an apocalyptic number.

21111001222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111001222000 is an abundant number, since it is smaller than the sum of its proper divisors (29936406534800).

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

21111001222000 is a wasteful number, since it uses less digits than its factorization.

21111001222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208211 (or 208195 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21111001222000 its reverse (22210011112), we get a palindrome (21133211233112).

The spelling of 21111001222000 in words is "twenty-one trillion, one hundred eleven billion, one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 87359 120829 174718 241658 349436 436795 483316 604145 698872 873590 966632 1208290 1397744 1747180 1933264 2183975 2416580 3020725 3494360 4367950 4833160 6041450 6988720 8735900 9666320 10919875 12082900 15103625 17471800 21839750 24165800 30207250 34943600 43679500 48331600 60414500 87359000 120829000 174718000 241658000 10555500611 21111001222 42222002444 52777503055 84444004888 105555006110 168888009776 211110012220 263887515275 422220024440 527775030550 844440048880 1055550061100 1319437576375 2111100122200 2638875152750 4222200244400 5277750305500 10555500611000 21111001222000