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1034232324301 = 11244919036469
BaseRepresentation
bin11110000110011010000…
…11001110000011001101
310122212112102120200100001
433003031003032003031
5113421101433334201
62111041512004301
7134502145464541
oct17031503160315
93585472520301
101034232324301
11369685203900
12148536390691
13766b2446537
14380b29dda21
151bd81c07301
hexf0cd0ce0cd

1034232324301 has 12 divisors (see below), whose sum is σ = 1139332729500. Its totient is φ = 938117143040.

The previous prime is 1034232324283. The next prime is 1034232324319.

It is a happy number.

1034232324301 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1034232324283) and next prime (1034232324319).

It can be written as a sum of positive squares in 2 ways, for example, as 507300062500 + 526932261801 = 712250^2 + 725901^2 .

It is not a de Polignac number, because 1034232324301 - 213 = 1034232316109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1034232324301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034232324361) 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 11 ways as a sum of consecutive naturals, for example, 9463906 + ... + 9572563.

It is an arithmetic number, because the mean of its divisors is an integer number (94944394125).

Almost surely, 21034232324301 is an apocalyptic number.

1034232324301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1034232324301 is a deficient number, since it is larger than the sum of its proper divisors (105100405199).

1034232324301 is a wasteful number, since it uses less digits than its factorization.

1034232324301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19036940 (or 19036929 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 1034232324301 in words is "one trillion, thirty-four billion, two hundred thirty-two million, three hundred twenty-four thousand, three hundred one".

Divisors: 1 11 121 449 4939 54329 19036469 209401159 2303412749 8547374581 94021120391 1034232324301