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20111221201020 = 22353019111025843
BaseRepresentation
bin1001001001010100000100…
…01100100001100001111100
32122012121120120202220220020
410210222002030201201330
510114000240111413040
6110434544550252140
74143662544441105
oct444520214414174
978177516686806
1020111221201020
116454137084594
122309833357050
13b2b6317b90a1
144d75616cd3ac
1524d2142a5cd0
hex124a8232187c

20111221201020 has 48 divisors (see below), whose sum is σ = 56330072211840. Its totient is φ = 5361215858496.

The previous prime is 20111221200997. The next prime is 20111221201033. The reversal of 20111221201020 is 2010212211102.

It is a super-2 number, since 2×201112212010202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 55331782 + ... + 55694061.

It is an arithmetic number, because the mean of its divisors is an integer number (1173543171080).

Almost surely, 220111221201020 is an apocalyptic number.

20111221201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111221201020 is an abundant number, since it is smaller than the sum of its proper divisors (36218851010820).

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

20111221201020 is a wasteful number, since it uses less digits than its factorization.

20111221201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111028874 (or 111028872 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20111221201020 its reverse (2010212211102), we get a palindrome (22121433412122).

The spelling of 20111221201020 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3019 6038 9057 12076 15095 18114 30190 36228 45285 60380 90570 181140 111025843 222051686 333077529 444103372 555129215 666155058 1110258430 1332310116 1665387645 2220516860 3330775290 6661550580 335187020017 670374040034 1005561060051 1340748080068 1675935100085 2011122120102 3351870200170 4022244240204 5027805300255 6703740400340 10055610600510 20111221201020