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211221541025 = 52111634712137
BaseRepresentation
bin1100010010110111001…
…0001111000010100001
3202012012101121000212222
43010231302033002201
511430040203303100
6241011150400425
721155160322025
oct3045562170241
9665171530788
10211221541025
1181640065050
1234b29800115
1316bc2103791
14a31a580385
1557636c5485
hex312dc8f0a1

211221541025 has 24 divisors (see below), whose sum is σ = 287478115104. Its totient is φ = 152673206400.

The previous prime is 211221540997. The next prime is 211221541031. The reversal of 211221541025 is 520145122112.

It is a happy number.

It is not a de Polignac number, because 211221541025 - 220 = 211220492449 is a prime.

It is a super-2 number, since 2×2112215410252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211221540985 and 211221541003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2311244 + ... + 2400893.

It is an arithmetic number, because the mean of its divisors is an integer number (11978254796).

Almost surely, 2211221541025 is an apocalyptic number.

211221541025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211221541025 is a deficient number, since it is larger than the sum of its proper divisors (76256574079).

211221541025 is a wasteful number, since it uses less digits than its factorization.

211221541025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712321 (or 4712316 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 211221541025 its reverse (520145122112), we get a palindrome (731366663137).

The spelling of 211221541025 in words is "two hundred eleven billion, two hundred twenty-one million, five hundred forty-one thousand, twenty-five".

Divisors: 1 5 11 25 55 163 275 815 1793 4075 8965 44825 4712137 23560685 51833507 117803425 259167535 768078331 1295837675 3840391655 8448861641 19201958275 42244308205 211221541025