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210212221142331 = 32235393188302981
BaseRepresentation
bin101111110010111111011000…
…110001001100010100111011
31000120022002111010101100111100
4233302333120301030110323
5210023104112103023311
62023030054454102443
762164221542634522
oct5762773061142473
91016262433340440
10210212221142331
1160a865586826a1
121b6b065364aa23
13903ac09648725
1439ca47bd794b9
15194818030aa56
hexbf2fd8c4c53b

210212221142331 has 24 divisors (see below), whose sum is σ = 316900360891296. Its totient is φ = 134023516197120.

The previous prime is 210212221142303. The next prime is 210212221142333. The reversal of 210212221142331 is 133241122212012.

210212221142331 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 1 + 22 + 211 + 423 + 3 + 1 = 666.

It is not a de Polignac number, because 210212221142331 - 211 = 210212221140283 is a prime.

It is a super-3 number, since 3×2102122211423313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 210212221142295 and 210212221142304.

It is not an unprimeable number, because it can be changed into a prime (210212221142333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93035140 + ... + 95267841.

It is an arithmetic number, because the mean of its divisors is an integer number (13204181703804).

Almost surely, 2210212221142331 is an apocalyptic number.

210212221142331 is a deficient number, since it is larger than the sum of its proper divisors (106688139748965).

210212221142331 is a wasteful number, since it uses less digits than its factorization.

210212221142331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188308403 (or 188308400 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 210212221142331 its reverse (133241122212012), we get a palindrome (343453343354343).

The spelling of 210212221142331 in words is "two hundred ten trillion, two hundred twelve billion, two hundred twenty-one million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 23 69 207 5393 16179 48537 124039 372117 1116351 188302981 564908943 1694726829 4330968563 12992905689 38978717067 1015517976533 3046553929599 9139661788797 23356913460259 70070740380777 210212221142331