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210201311021121 = 3471000737046609
BaseRepresentation
bin101111110010110101001110…
…011110011000100001000001
31000120021001022210001202210000
4233302311032132120201001
5210022414241110133441
62023021052120230213
762163354304301130
oct5762651636304101
91016231283052700
10210201311021121
1160a8196a1530a2
121b6aa50990b369
139039b8b22cac4
1439c9b24dc3917
151947c425c22b6
hexbf2d4e798841

210201311021121 has 40 divisors (see below), whose sum is σ = 358898073747840. Its totient is φ = 120103028525952.

The previous prime is 210201311021089. The next prime is 210201311021129. The reversal of 210201311021121 is 121120113102012.

It is a happy number.

210201311021121 is a `hidden beast` number, since 2 + 10 + 201 + 311 + 0 + 21 + 121 = 666.

210201311021121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210201311021121 - 25 = 210201311021089 is a prime.

It is a super-3 number, since 3×2102013110211213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210201311021094 and 210201311021103.

It is not an unprimeable number, because it can be changed into a prime (210201311021129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12849336 + ... + 24197273.

It is an arithmetic number, because the mean of its divisors is an integer number (8972451843696).

Almost surely, 2210201311021121 is an apocalyptic number.

210201311021121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210201311021121 is a deficient number, since it is larger than the sum of its proper divisors (148696762726719).

210201311021121 is a wasteful number, since it uses less digits than its factorization.

210201311021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37056635 (or 37056626 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 210201311021121 its reverse (121120113102012), we get a palindrome (331321424123133).

The spelling of 210201311021121 in words is "two hundred ten trillion, two hundred one billion, three hundred eleven million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 10007 30021 70049 90063 210147 270189 630441 810567 1891323 5673969 37046609 111139827 259326263 333419481 777978789 1000258443 2333936367 3000775329 7001809101 21005427303 370725416263 1112176248789 2595077913841 3336528746367 7785233741523 10009586239101 23355701224569 30028758717303 70067103673707 210201311021121