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1054430344501 = 23210119735169
BaseRepresentation
bin11110101100000001111…
…00100011010100110101
310201210200001201102020021
433112000330203110311
5114233433132011001
62124222033405141
7136115524022032
oct17260074432465
93653601642207
101054430344501
113771aa493386
121504327097b1
1378580b64291
143906b310389
151c66503aba1
hexf580f23535

1054430344501 has 12 divisors (see below), whose sum is σ = 1113181999020. Its totient is φ = 998599500800.

The previous prime is 1054430344493. The next prime is 1054430344543.

1054430344501 is nontrivially palindromic in base 10.

1054430344501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 984409246276 + 70021098225 = 992174^2 + 264615^2 .

It is not a de Polignac number, because 1054430344501 - 23 = 1054430344493 is a prime.

It is a super-2 number, since 2×10544303445012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054430344571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9814156 + ... + 9921013.

It is an arithmetic number, because the mean of its divisors is an integer number (92765166585).

Almost surely, 21054430344501 is an apocalyptic number.

It is an amenable number.

1054430344501 is a deficient number, since it is larger than the sum of its proper divisors (58751654519).

1054430344501 is a wasteful number, since it uses less digits than its factorization.

1054430344501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19735316 (or 19735293 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 1054430 and 344501, that added together give a palindrome (1398931).

The spelling of 1054430344501 in words is "one trillion, fifty-four billion, four hundred thirty million, three hundred forty-four thousand, five hundred one".

Divisors: 1 23 101 529 2323 53429 19735169 453908887 1993252069 10439904401 45844797587 1054430344501