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22120312505 = 5269138111909
BaseRepresentation
bin10100100110011110…
…010010111010111001
32010002121021022012112
4110212132102322321
5330300300000010
614054551022105
71412106361004
oct244636227271
963077238175
1022120312505
119421381205
12435406a935
132116a58215
1410dbb3c53b
15896e96a05
hex526792eb9

22120312505 has 16 divisors (see below), whose sum is σ = 26664584400. Its totient is φ = 17616218880.

The previous prime is 22120312499. The next prime is 22120312507. The reversal of 22120312505 is 50521302122.

It can be written as a sum of positive squares in 8 ways, for example, as 4012842409 + 18107470096 = 63347^2 + 134564^2 .

It is not a de Polignac number, because 22120312505 - 26 = 22120312441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22120312507) 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, 1851491 + ... + 1863399.

It is an arithmetic number, because the mean of its divisors is an integer number (1666536525).

Almost surely, 222120312505 is an apocalyptic number.

It is an amenable number.

22120312505 is a deficient number, since it is larger than the sum of its proper divisors (4544271895).

22120312505 is a wasteful number, since it uses less digits than its factorization.

22120312505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13564.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 22120312505 its reverse (50521302122), we get a palindrome (72641614627).

The spelling of 22120312505 in words is "twenty-two billion, one hundred twenty million, three hundred twelve thousand, five hundred five".

Divisors: 1 5 269 1345 1381 6905 11909 59545 371489 1857445 3203521 16017605 16446329 82231645 4424062501 22120312505