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12454235255253 = 31123110110957901
BaseRepresentation
bin1011010100111011101001…
…0001001011000111010101
31122002121120001211220101210
42311032322101023013111
53113022233211132003
642253221404012033
72423534362664151
oct265167221130725
948077501756353
1012454235255253
113a718a2136200
12149186a231019
136c457736b62c
14310b06b84061
15168e6ae04503
hexb53ba44b1d5

12454235255253 has 48 divisors (see below), whose sum is σ = 19027827012096. Its totient is φ = 7232214000000.

The previous prime is 12454235255249. The next prime is 12454235255327. The reversal of 12454235255253 is 35255253245421.

It is a happy number.

It is not a de Polignac number, because 12454235255253 - 22 = 12454235255249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12454235255053) 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 47 ways as a sum of consecutive naturals, for example, 4342398 + ... + 6615503.

It is an arithmetic number, because the mean of its divisors is an integer number (396413062752).

Almost surely, 212454235255253 is an apocalyptic number.

It is an amenable number.

12454235255253 is a deficient number, since it is larger than the sum of its proper divisors (6573591756843).

12454235255253 is a wasteful number, since it uses less digits than its factorization.

12454235255253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10958058 (or 10958047 counting only the distinct ones).

The product of its digits is 7200000, while the sum is 48.

The spelling of 12454235255253 in words is "twelve trillion, four hundred fifty-four billion, two hundred thirty-five million, two hundred fifty-five thousand, two hundred fifty-three".

Divisors: 1 3 11 31 33 93 101 121 303 341 363 1023 1111 3131 3333 3751 9393 11253 12221 34441 36663 103323 378851 1136553 10957901 32873703 120536911 339694931 361610733 1019084793 1106748001 1325906021 3320244003 3736644241 3977718063 11209932723 12174228011 34309188031 36522684033 41103086651 102927564093 123309259953 133916508121 377401068341 401749524363 1132203205023 4151411751751 12454235255253