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221010001000 = 2353221010001
BaseRepresentation
bin1100110111010100111…
…0001111110001101000
3210010110120022022122121
43031311032033301220
512110112030013000
6245310335201024
721652556004145
oct3156516176150
9703416268577
10221010001000
1185803424998
12369bb976174
1317ac2026129
14a9a85993cc
155b37be9b1a
hex337538fc68

221010001000 has 32 divisors (see below), whose sum is σ = 517163404680. Its totient is φ = 88404000000.

The previous prime is 221010000943. The next prime is 221010001019. The reversal of 221010001000 is 100010122.

It can be written as a sum of positive squares in 4 ways, for example, as 75066136324 + 145943864676 = 273982^2 + 382026^2 .

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, 110504001 + ... + 110506000.

Almost surely, 2221010001000 is an apocalyptic number.

221010001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010001000 is an abundant number, since it is smaller than the sum of its proper divisors (296153403680).

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

221010001000 is a wasteful number, since it uses less digits than its factorization.

221010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221010022 (or 221010008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 221010001000 its reverse (100010122), we get a palindrome (221110011122).

The spelling of 221010001000 in words is "two hundred twenty-one billion, ten million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 221010001 442020002 884040004 1105050005 1768080008 2210100010 4420200020 5525250025 8840400040 11050500050 22101000100 27626250125 44202000200 55252500250 110505000500 221010001000