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221020202020002 = 23711736553406927
BaseRepresentation
bin110010010000010001000110…
…101000010010110010100010
31001222120022202220011221022020
4302100101012220102302202
5212432143333204120002
62102023140141322310
764361116434412110
oct6220210650226242
91058508686157266
10221020202020002
1164473161067980
1220957242566396
139643167029928
143c8161335aab0
151a843990102bc
hexc90446a12ca2

221020202020002 has 64 divisors (see below), whose sum is σ = 558664833798144. Its totient is φ = 56621435840640.

The previous prime is 221020202019973. The next prime is 221020202020021. The reversal of 221020202020002 is 200020202020122.

It is a super-2 number, since 2×2210202020200022 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3276669738 + ... + 3276737189.

It is an arithmetic number, because the mean of its divisors is an integer number (8729138028096).

Almost surely, 2221020202020002 is an apocalyptic number.

221020202020002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221020202020002 is an abundant number, since it is smaller than the sum of its proper divisors (337644631778142).

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

221020202020002 is a wasteful number, since it uses less digits than its factorization.

221020202020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553407023.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 221020202020002 its reverse (200020202020122), we get a palindrome (421040404040124).

The spelling of 221020202020002 in words is "two hundred twenty-one trillion, twenty billion, two hundred two million, twenty thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 73 77 146 154 219 231 438 462 511 803 1022 1533 1606 2409 3066 4818 5621 11242 16863 33726 6553406927 13106813854 19660220781 39320441562 45873848489 72087476197 91747696978 137621545467 144174952394 216262428591 275243090934 432524857182 478398705671 504612333379 956797411342 1009224666758 1435196117013 1513837000137 2870392234026 3027674000274 3348790939697 5262385762381 6697581879394 10046372819091 10524771524762 15787157287143 20092745638182 31574314574286 36836700336667 73673400673334 110510101010001 221020202020002