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21212001110000 = 24543176691483
BaseRepresentation
bin1001101001010110011011…
…10010101000011111110000
32210002211212211101011121202
410310223031302220133300
510240014134241010000
6113040354144110332
74316342106333551
oct464531562503760
983084784334552
1021212001110000
116838a606a3758
1224670403053a8
13bab38b03155c
145349485b2328
1526bb8d460dd5
hex134acdca87f0

21212001110000 has 100 divisors (see below), whose sum is σ = 51518391081432. Its totient is φ = 8458033248000.

The previous prime is 21212001109921. The next prime is 21212001110017. The reversal of 21212001110000 is 1110021212.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175742 + ... + 6515741.

Almost surely, 221212001110000 is an apocalyptic number.

21212001110000 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 21212001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25759195540716).

21212001110000 is an abundant number, since it is smaller than the sum of its proper divisors (30306389971432).

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

21212001110000 is an equidigital number, since it uses as much as digits as its factorization.

21212001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691828 (or 6691807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21212001110000 its reverse (1110021212), we get a palindrome (21213111131212).

The spelling of 21212001110000 in words is "twenty-one trillion, two hundred twelve billion, one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 317 400 500 625 634 1000 1250 1268 1585 2000 2500 2536 3170 5000 5072 6340 7925 10000 12680 15850 25360 31700 39625 63400 79250 126800 158500 198125 317000 396250 634000 792500 1585000 3170000 6691483 13382966 26765932 33457415 53531864 66914830 107063728 133829660 167287075 267659320 334574150 535318640 669148300 836435375 1338296600 1672870750 2121200111 2676593200 3345741500 4182176875 4242400222 6691483000 8364353750 8484800444 10606000555 13382966000 16728707500 16969600888 21212001110 33457415000 33939201776 42424002220 53030002775 66914830000 84848004440 106060005550 169696008880 212120011100 265150013875 424240022200 530300027750 848480044400 1060600055500 1325750069375 2121200111000 2651500138750 4242400222000 5303000277500 10606000555000 21212001110000