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211012101221120 = 285164853204079
BaseRepresentation
bin101111111110101000010101…
…010101100010101100000000
31000200010120010010212110111122
4233332220111111202230000
5210124210240403033440
62024441342052131412
762306056402264163
oct5776502525425400
91020116103773448
10211012101221120
1161264803079851
121b7bb685906b68
1390984817c7cb4
143a1707c405ada
15195dd97d107b5
hexbfea15562b00

211012101221120 has 36 divisors (see below), whose sum is σ = 505439923709280. Its totient is φ = 84404840487936.

The previous prime is 211012101221113. The next prime is 211012101221239. The reversal of 211012101221120 is 21122101210112.

It is a super-2 number, since 2×2110121012211202 (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 (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82426600760 + ... + 82426603319.

Almost surely, 2211012101221120 is an apocalyptic number.

211012101221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012101221120 is an abundant number, since it is smaller than the sum of its proper divisors (294427822488160).

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

211012101221120 is an equidigital number, since it uses as much as digits as its factorization.

211012101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164853204100 (or 164853204086 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211012101221120 its reverse (21122101210112), we get a palindrome (232134202431232).

The spelling of 211012101221120 in words is "two hundred eleven trillion, twelve billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 164853204079 329706408158 659412816316 824266020395 1318825632632 1648532040790 2637651265264 3297064081580 5275302530528 6594128163160 10550605061056 13188256326320 21101210122112 26376512652640 42202420244224 52753025305280 105506050610560 211012101221120