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10422144344031 = 37797829751147
BaseRepresentation
bin1001011110101001100000…
…1101100001111111011111
31100220100101011021212002020
42113222120031201333133
52331224022423002111
634055511135231223
72123655311146140
oct227523015417737
940810334255066
1010422144344031
113359008860892
121203a6b078513
135a7a5b4b71c4
142806122c7ac7
1513118597d906
hex97a98361fdf

10422144344031 has 32 divisors (see below), whose sum is σ = 15920491722240. Its totient is φ = 5940855778176.

The previous prime is 10422144343997. The next prime is 10422144344033. The reversal of 10422144344031 is 13044344122401.

It is a happy number.

It is not a de Polignac number, because 10422144344031 - 29 = 10422144343519 is a prime.

It is a super-2 number, since 2×104221443440312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10422144343983 and 10422144344001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422144344033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13499400 + ... + 14250546.

It is an arithmetic number, because the mean of its divisors is an integer number (497515366320).

Almost surely, 210422144344031 is an apocalyptic number.

10422144344031 is a deficient number, since it is larger than the sum of its proper divisors (5498347378209).

10422144344031 is an equidigital number, since it uses as much as digits as its factorization.

10422144344031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752783.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 10422144344031 its reverse (13044344122401), we get a palindrome (23466488466432).

The spelling of 10422144344031 in words is "ten trillion, four hundred twenty-two billion, one hundred forty-four million, three hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 21 797 829 2391 2487 5579 5803 16737 17409 660713 751147 1982139 2253441 4624991 5258029 13874973 15774087 598664159 622700863 1795992477 1868102589 4190649113 4358906041 12571947339 13076718123 496292587811 1488877763433 3474048114677 10422144344031