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12541145430 = 2351123454861
BaseRepresentation
bin10111010111000001…
…01011000101010110
31012101000101012022210
423223200223011112
5201141013123210
65432240134250
7622531656132
oct135340530526
935330335283
1012541145430
115356171200
122520007386
13124b2c4918
1486d8443c2
154d6014e20
hex2eb82b156

12541145430 has 48 divisors (see below), whose sum is σ = 33083758512. Its totient is φ = 3040276800.

The previous prime is 12541145417. The next prime is 12541145431. The reversal of 12541145430 is 3454114521.

12541145430 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12541145431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1723801 + ... + 1731060.

It is an arithmetic number, because the mean of its divisors is an integer number (689244969).

Almost surely, 212541145430 is an apocalyptic number.

12541145430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12541145430 is an abundant number, since it is smaller than the sum of its proper divisors (20542613082).

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

12541145430 is a wasteful number, since it uses less digits than its factorization.

12541145430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454893 (or 3454882 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12541145430 its reverse (3454114521), we get a palindrome (15995259951).

The spelling of 12541145430 in words is "twelve billion, five hundred forty-one million, one hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 3454861 6909722 10364583 17274305 20729166 34548610 38003471 51822915 76006942 103645830 114010413 190017355 228020826 380034710 418038181 570052065 836076362 1140104130 1254114543 2090190905 2508229086 4180381810 6270572715 12541145430