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31222102401 = 337165196309
BaseRepresentation
bin11101000100111110…
…110111100110000001
32222120220220010201000
4131010332313212001
51002420324234101
622202050002213
72153466330420
oct350476674601
988526803630
1031222102401
1112272076716
126074276369
132c37627909
14172288d2b7
15c2b07d486
hex744fb7981

31222102401 has 16 divisors (see below), whose sum is σ = 52862819200. Its totient is φ = 17841201264.

The previous prime is 31222102381. The next prime is 31222102421. The reversal of 31222102401 is 10420122213.

It is a happy number.

31222102401 is a `hidden beast` number, since 31 + 22 + 210 + 2 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (31222102381) and next prime (31222102421).

It is not a de Polignac number, because 31222102401 - 214 = 31222086017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31222102421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82597966 + ... + 82598343.

It is an arithmetic number, because the mean of its divisors is an integer number (3303926200).

Almost surely, 231222102401 is an apocalyptic number.

It is an amenable number.

31222102401 is a deficient number, since it is larger than the sum of its proper divisors (21640716799).

31222102401 is a wasteful number, since it uses less digits than its factorization.

31222102401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165196325 (or 165196319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31222102401 its reverse (10420122213), we get a palindrome (41642224614).

The spelling of 31222102401 in words is "thirty-one billion, two hundred twenty-two million, one hundred two thousand, four hundred one".

Divisors: 1 3 7 9 21 27 63 189 165196309 495588927 1156374163 1486766781 3469122489 4460300343 10407367467 31222102401