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220220031001000 = 2353220220031001
BaseRepresentation
bin110010000100100111111000…
…101110000110000110101000
31001212201211101121020112100111
4302010213320232012012220
5212331041110414013000
62100211404031344104
764246241443105312
oct6204477056060650
91055654347215314
10220220031001000
1164194877415068
122084814a982034
1395b58768021a4
143c549c63d87b2
151a6d665bdacba
hexc849f8b861a8

220220031001000 has 32 divisors (see below), whose sum is σ = 515314872544680. Its totient is φ = 88088012400000.

The previous prime is 220220031000973. The next prime is 220220031001007. The reversal of 220220031001000 is 100130022022.

It can be written as a sum of positive squares in 4 ways, for example, as 52042344265444 + 168177686735556 = 7214038^2 + 12968334^2 .

It is not an unprimeable number, because it can be changed into a prime (220220031001007) 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, 110110014501 + ... + 110110016500.

Almost surely, 2220220031001000 is an apocalyptic number.

220220031001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220220031001000 is an abundant number, since it is smaller than the sum of its proper divisors (295094841543680).

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

220220031001000 is a wasteful number, since it uses less digits than its factorization.

220220031001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220220031022 (or 220220031008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 220220031001000 its reverse (100130022022), we get a palindrome (220320161023022).

The spelling of 220220031001000 in words is "two hundred twenty trillion, two hundred twenty billion, thirty-one million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 220220031001 440440062002 880880124004 1101100155005 1761760248008 2202200310010 4404400620020 5505500775025 8808801240040 11011001550050 22022003100100 27527503875125 44044006200200 55055007750250 110110015500500 220220031001000