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13753234125 = 325312225097
BaseRepresentation
bin11001100111100000…
…11011001011001101
31022111111010200102200
430303300123023031
5211131311443000
610152415312113
7664550363331
oct146360331315
938444120380
1013753234125
1159183843a4
1227b9b1b639
1313b245c577
149467dd7c1
1555763c500
hex333c1b2cd

13753234125 has 24 divisors (see below), whose sum is σ = 24792498744. Its totient is φ = 7335057600.

The previous prime is 13753234093. The next prime is 13753234153. The reversal of 13753234125 is 52143235731.

It can be written as a sum of positive squares in 4 ways, for example, as 149744169 + 13603489956 = 12237^2 + 116634^2 .

It is not a de Polignac number, because 13753234125 - 25 = 13753234093 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13753234125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6111424 + ... + 6113673.

It is an arithmetic number, because the mean of its divisors is an integer number (1033020781).

Almost surely, 213753234125 is an apocalyptic number.

13753234125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13753234125 is a deficient number, since it is larger than the sum of its proper divisors (11039264619).

13753234125 is a wasteful number, since it uses less digits than its factorization.

13753234125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225118 (or 12225105 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

Adding to 13753234125 its reverse (52143235731), we get a palindrome (65896469856).

The spelling of 13753234125 in words is "thirteen billion, seven hundred fifty-three million, two hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 12225097 36675291 61125485 110025873 183376455 305627425 550129365 916882275 1528137125 2750646825 4584411375 13753234125