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220100221110120 = 233513141089885327
BaseRepresentation
bin110010000010111000010011…
…011111101000011101101000
31001212022101010211210110112120
4302002320103133220131220
5212322110223101010440
62100040351245511240
764234500442614021
oct6202702337503550
91055271124713476
10220100221110120
1164148a858a781a
1220828a92872520
1395a7491b1b130
143c4cc9c41bc48
151a6a4a2788dd0
hexc82e137e8768

220100221110120 has 64 divisors (see below), whose sum is σ = 711093022053120. Its totient is φ = 54178515965184.

The previous prime is 220100221110109. The next prime is 220100221110131. The reversal of 220100221110120 is 21011122001022.

It is an interprime number because it is at equal distance from previous prime (220100221110109) and next prime (220100221110131).

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

It is a self number, because there is not a number n which added to its sum of digits gives 220100221110120.

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 15 ways as a sum of consecutive naturals, for example, 70544941104 + ... + 70544944223.

It is an arithmetic number, because the mean of its divisors is an integer number (11110828469580).

Almost surely, 2220100221110120 is an apocalyptic number.

220100221110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100221110120 is an abundant number, since it is smaller than the sum of its proper divisors (490992800943000).

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

220100221110120 is a wasteful number, since it uses less digits than its factorization.

220100221110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141089885354 (or 141089885350 counting only the distinct ones).

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

Adding to 220100221110120 its reverse (21011122001022), we get a palindrome (241111343111142).

The spelling of 220100221110120 in words is "two hundred twenty trillion, one hundred billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 141089885327 282179770654 423269655981 564359541308 705449426635 846539311962 1128719082616 1410898853270 1693078623924 1834168509251 2116348279905 2821797706540 3386157247848 3668337018502 4232696559810 5502505527753 5643595413080 7336674037004 8465393119620 9170842546255 11005011055506 14673348074008 16930786239240 18341685092510 22010022111012 27512527638765 36683370185020 44020044222024 55025055277530 73366740370040 110050110555060 220100221110120