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10033422433001 = 115936742124847
BaseRepresentation
bin1001001000000001011010…
…0101000111101011101001
31022112012000110102202200022
42102000112211013223221
52303341422120324001
633201142435450225
72053614363342032
oct222002645075351
938465013382608
1010033422433001
113219172435680
121160664a56975
1357a1bc59c0b6
14269897d03a89
15125ed425611b
hex92016947ae9

10033422433001 has 16 divisors (see below), whose sum is σ = 11161399726080. Its totient is φ = 8942262308880.

The previous prime is 10033422432989. The next prime is 10033422433007.

10033422433001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10033422433001 - 214 = 10033422416617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10033422433007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20824241 + ... + 21300606.

It is an arithmetic number, because the mean of its divisors is an integer number (697587482880).

Almost surely, 210033422433001 is an apocalyptic number.

10033422433001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10033422433001 is a deficient number, since it is larger than the sum of its proper divisors (1127977293079).

10033422433001 is a wasteful number, since it uses less digits than its factorization.

10033422433001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42125284.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 1003342 and 2433001, that added together give a palindrome (3436343).

The spelling of 10033422433001 in words is "ten trillion, thirty-three billion, four hundred twenty-two million, four hundred thirty-three thousand, one".

Divisors: 1 11 59 367 649 4037 21653 238183 42124847 463373317 2485365973 15459818849 27339025703 170058007339 912129312091 10033422433001