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13053460230 = 2345155910337
BaseRepresentation
bin11000010100000101…
…11111111100000110
31020200201101111010000
430022002333330012
5203213141211410
65555140542130
7641322403236
oct141202777406
936621344100
1013053460230
115599379968
1226436b1946
13130049c085
148bb8c3cc6
15515eb1dc0
hex30a0bff06

13053460230 has 80 divisors (see below), whose sum is σ = 35125215840. Its totient is φ = 3478353408.

The previous prime is 13053460229. The next prime is 13053460241. The reversal of 13053460230 is 3206435031.

It is a happy number.

13053460230 is a `hidden beast` number, since 1 + 3 + 0 + 53 + 4 + 602 + 3 + 0 = 666.

13053460230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13053460194 and 13053460203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1257622 + ... + 1267958.

It is an arithmetic number, because the mean of its divisors is an integer number (439065198).

Almost surely, 213053460230 is an apocalyptic number.

13053460230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13053460230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562607920).

13053460230 is an abundant number, since it is smaller than the sum of its proper divisors (22071755610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13053460230 is a wasteful number, since it uses less digits than its factorization.

13053460230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11915 (or 11906 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13053460230 its reverse (3206435031), we get a palindrome (16259895261).

The spelling of 13053460230 in words is "thirteen billion, fifty-three million, four hundred sixty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1559 3118 4677 7795 9354 10337 14031 15590 20674 23385 28062 31011 42093 46770 51685 62022 70155 84186 93033 103370 126279 140310 155055 186066 210465 252558 279099 310110 420930 465165 558198 631395 837297 930330 1262790 1395495 1674594 2790990 4186485 8372970 16115383 32230766 48346149 80576915 96692298 145038447 161153830 241730745 290076894 435115341 483461490 725192235 870230682 1305346023 1450384470 2175576705 2610692046 4351153410 6526730115 13053460230