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1034342434301 = 112231013679847
BaseRepresentation
bin11110000110100111001…
…11010000010111111101
310122212211002202211212012
433003103213100113331
5113421313130344201
62111100444021005
7134504653425131
oct17032347202775
93585732684765
101034342434301
11369731380100
12148567231765
13766cc1b9997
14380c34a33c1
151bd8b7075bb
hexf0d39d05fd

1034342434301 has 24 divisors (see below), whose sum is σ = 1198099631232. Its totient is φ = 890522732000.

The previous prime is 1034342434283. The next prime is 1034342434313.

1034342434301 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1034342434301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034342434351) 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 23 ways as a sum of consecutive naturals, for example, 1558841 + ... + 2121006.

It is an arithmetic number, because the mean of its divisors is an integer number (49920817968).

Almost surely, 21034342434301 is an apocalyptic number.

1034342434301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1034342434301 is a deficient number, since it is larger than the sum of its proper divisors (163757196931).

1034342434301 is a wasteful number, since it uses less digits than its factorization.

1034342434301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679993 (or 3679982 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 1034342434301 in words is "one trillion, thirty-four billion, three hundred forty-two million, four hundred thirty-four thousand, three hundred one".

Divisors: 1 11 23 101 121 253 1111 2323 2783 12221 25553 281083 3679847 40478317 84636481 371664547 445261487 931001291 4088310017 8548284581 10241014201 44971410187 94031130391 1034342434301