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10222239515041 = 411709145888189
BaseRepresentation
bin1001010011000000110011…
…1101001000000110100001
31100012020101110002100200001
42110300030331020012201
52314440121303440131
633424010525100001
72103350424142501
oct224601475100641
940166343070601
1010222239515041
113291255793014
12119117b3b7601
13591c50b0a848
14274a8aadba01
1512ad85a58261
hex94c0cf481a1

10222239515041 has 8 divisors (see below), whose sum is σ = 10477689805800. Its totient is φ = 9967081004160.

The previous prime is 10222239514957. The next prime is 10222239515057. The reversal of 10222239515041 is 14051593222201.

It can be written as a sum of positive squares in 4 ways, for example, as 220833265041 + 10001406250000 = 469929^2 + 3162500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222239515041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222239525041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72874026 + ... + 73014163.

It is an arithmetic number, because the mean of its divisors is an integer number (1309711225725).

Almost surely, 210222239515041 is an apocalyptic number.

It is an amenable number.

10222239515041 is a deficient number, since it is larger than the sum of its proper divisors (255450290759).

10222239515041 is a wasteful number, since it uses less digits than its factorization.

10222239515041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145889939.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 10222239515041 in words is "ten trillion, two hundred twenty-two billion, two hundred thirty-nine million, five hundred fifteen thousand, forty-one".

Divisors: 1 41 1709 70069 145888189 5981415749 249322915001 10222239515041