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1002430342001 = 1128284548281
BaseRepresentation
bin11101001011001011000…
…00010010001101110001
310112211110002112120221202
432211211200102031301
5112410434131421001
62044302105100545
7132265105214144
oct16454540221561
93484402476852
101002430342001
11357145881900
1214233ba87755
13736b494902a
143673712405b
151b11ecd296b
hexe965812371

1002430342001 has 6 divisors (see below), whose sum is σ = 1101844921506. Its totient is φ = 911300310800.

The previous prime is 1002430341967. The next prime is 1002430342007.

1002430342001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 713389701376 + 289040640625 = 844624^2 + 537625^2 .

It is not a de Polignac number, because 1002430342001 - 26 = 1002430341937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002430342007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4142274020 + ... + 4142274261.

It is an arithmetic number, because the mean of its divisors is an integer number (183640820251).

Almost surely, 21002430342001 is an apocalyptic number.

1002430342001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002430342001 is a deficient number, since it is larger than the sum of its proper divisors (99414579505).

1002430342001 is an equidigital number, since it uses as much as digits as its factorization.

1002430342001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284548303 (or 8284548292 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 1002430 and 342001, that added together give a palindrome (1344431).

The spelling of 1002430342001 in words is "one trillion, two billion, four hundred thirty million, three hundred forty-two thousand, one".

Divisors: 1 11 121 8284548281 91130031091 1002430342001