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221011221200020 = 22519357256793057
BaseRepresentation
bin110010010000001000101111…
…010101001011110010010100
31001222112110121000012000022221
4302100020233111023302110
5212432021440111400040
62102015053043232124
764360351043613346
oct6220105725136224
91058473530160287
10221011221200020
116446a3726869a9
1220955556978644
139642365533774
143c810006d9296
151a8402087174a
hexc9022f54bc94

221011221200020 has 24 divisors (see below), whose sum is σ = 466528349836584. Its totient is φ = 87946434134016.

The previous prime is 221011221199999. The next prime is 221011221200059. The reversal of 221011221200020 is 20002122110122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 327955510276 + 220683265689744 = 572674^2 + 14855412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221011221199967 and 221011221200003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28628392669 + ... + 28628400388.

It is an arithmetic number, because the mean of its divisors is an integer number (19438681243191).

Almost surely, 2221011221200020 is an apocalyptic number.

221011221200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011221200020 is an abundant number, since it is smaller than the sum of its proper divisors (245517128636564).

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

221011221200020 is a wasteful number, since it uses less digits than its factorization.

221011221200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57256793259 (or 57256793257 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221011221200020 its reverse (20002122110122), we get a palindrome (241013343310142).

The spelling of 221011221200020 in words is "two hundred twenty-one trillion, eleven billion, two hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 57256793057 114513586114 229027172228 286283965285 572567930570 1145135861140 11050561060001 22101122120002 44202244240004 55252805300005 110505610600010 221011221200020