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211012011201019 = 732943149219567
BaseRepresentation
bin101111111110101000001111…
…111110001001000111111011
31000200010112212212110222010211
4233332220033332021013323
5210124210044331413034
62024441325114451551
762306054230156000
oct5776501776110773
91020115785428124
10211012011201019
1161264767284376
121b7bb65b733bb7
139098468c69b72
143a170704918a7
15195dd8ee7cd64
hexbfea0ff891fb

211012011201019 has 32 divisors (see below), whose sum is σ = 255154240512000. Its totient is φ = 174225450944160.

The previous prime is 211012011200971. The next prime is 211012011201029. The reversal of 211012011201019 is 910102110210112.

It is a happy number.

It is not a de Polignac number, because 211012011201019 - 217 = 211012011069947 is a prime.

It is a super-2 number, since 2×2110120112010192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211012011201029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20322627 + ... + 28896940.

It is an arithmetic number, because the mean of its divisors is an integer number (7973570016000).

Almost surely, 2211012011201019 is an apocalyptic number.

211012011201019 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

211012011201019 is a deficient number, since it is larger than the sum of its proper divisors (44142229310981).

211012011201019 is an equidigital number, since it uses as much as digits as its factorization.

211012011201019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49220048 (or 49220034 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 211012011201019 in words is "two hundred eleven trillion, twelve billion, eleven million, two hundred one thousand, nineteen".

Divisors: 1 7 29 49 203 343 431 1421 3017 9947 12499 21119 87493 147833 612451 4287157 49219567 344536969 1427367443 2411758783 9991572101 16882311481 21213633377 69941004707 148495433639 489587032949 615195367933 1039468035473 4306367575531 7276276248311 30144573028717 211012011201019