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31220242321 = 313743633001
BaseRepresentation
bin11101000100110111…
…110001011110010001
32222120210101122011011
4131010313301132101
51002414340223241
622201542050521
72153444452432
oct350467613621
988523348134
1031220242321
1112271016164
126073719a41
132c37126088
141722527489
15c2ad12281
hex744df1791

31220242321 has 16 divisors (see below), whose sum is σ = 33868139008. Its totient is φ = 28712880000.

The previous prime is 31220242309. The next prime is 31220242337. The reversal of 31220242321 is 12324202213.

It is a cyclic number.

It is not a de Polignac number, because 31220242321 - 29 = 31220241809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31220242292 and 31220242301.

It is not an unprimeable number, because it can be changed into a prime (31220242301) 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, 267180 + ... + 365821.

It is an arithmetic number, because the mean of its divisors is an integer number (2116758688).

Almost surely, 231220242321 is an apocalyptic number.

31220242321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31220242321 is a deficient number, since it is larger than the sum of its proper divisors (2647896687).

31220242321 is a wasteful number, since it uses less digits than its factorization.

31220242321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633112.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31220242321 its reverse (12324202213), we get a palindrome (43544444534).

The spelling of 31220242321 in words is "thirty-one billion, two hundred twenty million, two hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 31 37 43 1147 1333 1591 49321 633001 19623031 23421037 27219043 726052147 843790333 1007104591 31220242321