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10444101124331 = 714531026850961
BaseRepresentation
bin1001011111111011010011…
…1100000000000011101011
31100222110001100211212021102
42113332310330000003223
52332104004341434311
634113542005232015
72125363363536650
oct227766474000353
940873040755242
1010444101124331
113367355897906
12120817840260b
135a9b4a3b5cb4
142816d6417c27
15131a1d3c143b
hex97fb4f000eb

10444101124331 has 8 divisors (see below), whose sum is σ = 11944330389984. Its totient is φ = 8945925563520.

The previous prime is 10444101124319. The next prime is 10444101124343. The reversal of 10444101124331 is 13342110144401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10444101124319) and next prime (10444101124343).

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 10444101124331 - 218 = 10444100862187 is a prime.

It is a super-2 number, since 2×104441011243312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10444101124294 and 10444101124303.

It is not an unprimeable number, because it can be changed into a prime (10444101124231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 513415310 + ... + 513435651.

It is an arithmetic number, because the mean of its divisors is an integer number (1493041298748).

Almost surely, 210444101124331 is an apocalyptic number.

10444101124331 is a deficient number, since it is larger than the sum of its proper divisors (1500229265653).

10444101124331 is a wasteful number, since it uses less digits than its factorization.

10444101124331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026852421.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 10444101124331 its reverse (13342110144401), we get a palindrome (23786211268732).

The spelling of 10444101124331 in words is "ten trillion, four hundred forty-four billion, one hundred one million, one hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 7 1453 10171 1026850961 7187956727 1492014446333 10444101124331