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211211002331 = 74405721683
BaseRepresentation
bin1100010010110100101…
…0000010000111011011
3202012011122202121111222
43010231022002013123
511430030004033311
6241010132442255
721155001620000
oct3045512020733
9665148677458
10211211002331
118163511718a
1234b2617938b
1316bbcb83974
14a318dd98a7
1557627e2adb
hex312d2821db

211211002331 has 20 divisors (see below), whose sum is σ = 246470275272. Its totient is φ = 180985031136.

The previous prime is 211211002291. The next prime is 211211002333. The reversal of 211211002331 is 133200112112.

It is not a de Polignac number, because 211211002331 - 222 = 211206808027 is a prime.

It is a super-2 number, since 2×2112110023312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211211002333) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 9730016 + ... + 9751698.

Almost surely, 2211211002331 is an apocalyptic number.

211211002331 is a deficient number, since it is larger than the sum of its proper divisors (35259272941).

211211002331 is an frugal number, since it uses more digits than its factorization.

211211002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25768 (or 25747 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211211002331 its reverse (133200112112), we get a palindrome (344411114443).

The spelling of 211211002331 in words is "two hundred eleven billion, two hundred eleven million, two thousand, three hundred thirty-one".

Divisors: 1 7 49 343 2401 4057 21683 28399 151781 198793 1062467 1391551 7437269 9740857 52060883 87967931 615775517 4310428619 30173000333 211211002331