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21000221120100 = 22352103981673207
BaseRepresentation
bin1001100011001011111101…
…01110000101011001100100
32202100121020111221222220010
410301211332232011121210
510223031423101320400
6112355211324010220
74265134025200635
oct461457656053144
982317214858803
1021000221120100
116767164390812
122431b97690970
13b9440a31ca71
145285b7bc388c
152663e5c29450
hex13197eb85664

21000221120100 has 72 divisors (see below), whose sum is σ = 60761314374208. Its totient is φ = 5599996790400.

The previous prime is 21000221120089. The next prime is 21000221120141. The reversal of 21000221120100 is 102112200012.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 30857697 + ... + 31530903.

Almost surely, 221000221120100 is an apocalyptic number.

21000221120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000221120100 is an abundant number, since it is smaller than the sum of its proper divisors (39761093254108).

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

21000221120100 is a wasteful number, since it uses less digits than its factorization.

21000221120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777205 (or 777198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000221120100 its reverse (102112200012), we get a palindrome (21102333320112).

The spelling of 21000221120100 in words is "twenty-one trillion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 103981 207962 311943 415924 519905 623886 673207 1039810 1247772 1346414 1559715 2019621 2079620 2599525 2692828 3119430 3366035 4039242 5199050 6238860 6732070 7798575 8078484 10098105 10398100 13464140 15597150 16830175 20196210 31194300 33660350 40392420 50490525 67320700 100981050 201962100 70000737067 140001474134 210002211201 280002948268 350003685335 420004422402 700007370670 840008844804 1050011056005 1400014741340 1750018426675 2100022112010 3500036853350 4200044224020 5250055280025 7000073706700 10500110560050 21000221120100