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10024413123101 = 133629772124401
BaseRepresentation
bin1001000111011111110110…
…0101010101001000011101
31022111022202120211101212212
42101313331211111020131
52303214444224414401
633153052443010205
72053145205434306
oct221677545251035
938438676741785
1010024413123101
113215369965813
12115a96b809965
135793b4c0c3b0
142692815877ad
15125b5833adbb
hex91dfd95521d

10024413123101 has 8 divisors (see below), whose sum is σ = 10795556648184. Its totient is φ = 9253274572800.

The previous prime is 10024413123071. The next prime is 10024413123103. The reversal of 10024413123101 is 10132131442001.

It can be written as a sum of positive squares in 4 ways, for example, as 63136612900 + 9961276510201 = 251270^2 + 3156149^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10024413123101 - 26 = 10024413123037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024413123103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3656501 + ... + 5780901.

It is an arithmetic number, because the mean of its divisors is an integer number (1349444581023).

Almost surely, 210024413123101 is an apocalyptic number.

It is an amenable number.

10024413123101 is a deficient number, since it is larger than the sum of its proper divisors (771143525083).

10024413123101 is a wasteful number, since it uses less digits than its factorization.

10024413123101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487391.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10024413123101 its reverse (10132131442001), we get a palindrome (20156544565102).

The spelling of 10024413123101 in words is "ten trillion, twenty-four billion, four hundred thirteen million, one hundred twenty-three thousand, one hundred one".

Divisors: 1 13 362977 2124401 4718701 27617213 771108701777 10024413123101