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221020200020120 = 23528119663718863
BaseRepresentation
bin110010010000010001000110…
…100000101010100010011000
31001222120022202202102022222112
4302100101012200222202120
5212432143332201120440
62102023140030411452
764361116411412414
oct6220210640524230
91058508682368875
10221020200020120
116447315aa21386
1220957241960b88
1396431667a9577
143c81612d99d44
151a84398c67965
hexc9044682a898

221020200020120 has 32 divisors (see below), whose sum is σ = 499065184768320. Its totient is φ = 88093460501760.

The previous prime is 221020200020117. The next prime is 221020200020129. The reversal of 221020200020120 is 21020002020122.

It is a super-3 number, since 3×2210202000201203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221020200020095 and 221020200020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020200020129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9831848192 + ... + 9831870671.

It is an arithmetic number, because the mean of its divisors is an integer number (15595787024010).

Almost surely, 2221020200020120 is an apocalyptic number.

221020200020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020200020120 is an abundant number, since it is smaller than the sum of its proper divisors (278044984748200).

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

221020200020120 is a wasteful number, since it uses less digits than its factorization.

221020200020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19663719155 (or 19663719151 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221020200020120 its reverse (21020002020122), we get a palindrome (242040202040242).

The spelling of 221020200020120 in words is "two hundred twenty-one trillion, twenty billion, two hundred million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 281 562 1124 1405 2248 2810 5620 11240 19663718863 39327437726 78654875452 98318594315 157309750904 196637188630 393274377260 786548754520 5525505000503 11051010001006 22102020002012 27627525002515 44204040004024 55255050005030 110510100010060 221020200020120