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221020222210120 = 235139313127002679
BaseRepresentation
bin110010010000010001000111…
…110101010100000001001000
31001222120022211022011200221101
4302100101013311110001020
5212432143403341210440
62102023142142151144
764361120101132324
oct6220210765240110
91058508738150841
10221020222210120
11644731714a8023
12209572492824b4
13964316b278748
143c81615cd4984
151a8439ab9c69a
hexc90447d54048

221020222210120 has 64 divisors (see below), whose sum is σ = 502473403152000. Its totient is φ = 87491636863488.

The previous prime is 221020222210091. The next prime is 221020222210159. The reversal of 221020222210120 is 21012222020122.

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, 61761060 + ... + 65241619.

It is an arithmetic number, because the mean of its divisors is an integer number (7851146924250).

Almost surely, 2221020222210120 is an apocalyptic number.

221020222210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020222210120 is an abundant number, since it is smaller than the sum of its proper divisors (281453180941880).

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

221020222210120 is a wasteful number, since it uses less digits than its factorization.

221020222210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127003142 (or 127003138 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221020222210120 its reverse (21012222020122), we get a palindrome (242032444230242).

The spelling of 221020222210120 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 278 313 556 626 695 1112 1252 1390 1565 2504 2780 3130 5560 6260 12520 43507 87014 174028 217535 348056 435070 870140 1740280 127002679 254005358 508010716 635013395 1016021432 1270026790 2540053580 5080107160 17653372381 35306744762 39751838527 70613489524 79503677054 88266861905 141226979048 159007354108 176533723810 198759192635 318014708216 353067447620 397518385270 706134895240 795036770540 1590073541080 5525505555253 11051011110506 22102022221012 27627527776265 44204044442024 55255055552530 110510111105060 221020222210120