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10420252234145 = 513916117499353
BaseRepresentation
bin1001011110100010011101…
…1011101101000110100001
31100220011111021221201021022
42113220213123231012201
52331211134032443040
634054555304535225
72123560364400605
oct227504733550641
940804437851238
1010420252234145
113358227804706
121203621481515
135a78194b6a60
142804b2cb5505
151310c47cd6b5
hex97a276ed1a1

10420252234145 has 16 divisors (see below), whose sum is σ = 13467642833232. Its totient is φ = 7694115087360.

The previous prime is 10420252234127. The next prime is 10420252234177. The reversal of 10420252234145 is 54143225202401.

It can be written as a sum of positive squares in 8 ways, for example, as 2300533596001 + 8119718638144 = 1516751^2 + 2849512^2 .

It is not a de Polignac number, because 10420252234145 - 216 = 10420252168609 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8154212 + ... + 9345141.

It is an arithmetic number, because the mean of its divisors is an integer number (841727677077).

Almost surely, 210420252234145 is an apocalyptic number.

It is an amenable number.

10420252234145 is a deficient number, since it is larger than the sum of its proper divisors (3047390599087).

10420252234145 is a wasteful number, since it uses less digits than its factorization.

10420252234145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17508532.

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10420252234145 its reverse (54143225202401), we get a palindrome (64563477436546).

The spelling of 10420252234145 in words is "ten trillion, four hundred twenty billion, two hundred fifty-two million, two hundred thirty-four thousand, one hundred forty-five".

Divisors: 1 5 13 65 9161 45805 119093 595465 17499353 87496765 227491589 1137457945 160311572833 801557864165 2084050446829 10420252234145