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31220202312 = 23321333354917
BaseRepresentation
bin11101000100110111…
…100111101101001000
32222120210022121021100
4131010313213231020
51002414332433222
622201541141400
72153444224665
oct350467475510
988523277240
1031220202312
1112270a990a2
1260736ba860
132c37110ac0
141722516a6c
15c2ad054ac
hex744de7b48

31220202312 has 48 divisors (see below), whose sum is σ = 91058926140. Its totient is φ = 9606215808.

The previous prime is 31220202311. The next prime is 31220202319. The reversal of 31220202312 is 21320202213.

31220202312 is a `hidden beast` number, since 312 + 20 + 20 + 2 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27944471556 + 3275730756 = 167166^2 + 57234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31220202311) 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 11 ways as a sum of consecutive naturals, for example, 16676523 + ... + 16678394.

Almost surely, 231220202312 is an apocalyptic number.

It is an amenable number.

31220202312 is an abundant number, since it is smaller than the sum of its proper divisors (59838723828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31220202312 is a wasteful number, since it uses less digits than its factorization.

31220202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33354942 (or 33354935 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31220202312 its reverse (21320202213), we get a palindrome (52540404525).

Subtracting from 31220202312 its reverse (21320202213), we obtain a palindrome (9900000099).

The spelling of 31220202312 in words is "thirty-one billion, two hundred twenty million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 33354917 66709834 100064751 133419668 200129502 266839336 300194253 400259004 433613921 600388506 800518008 867227842 1200777012 1300841763 1734455684 2401554024 2601683526 3468911368 3902525289 5203367052 7805050578 10406734104 15610101156 31220202312