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54213100131245 = 5112293089945861
BaseRepresentation
bin11000101001110011110001…
…00100110101001110101101
321002221201111011100021021112
430110321320210311032231
524101211412113144440
6311145053202441405
714263524105565556
oct1424717044651655
9232851434307245
1054213100131245
1116301712767400
1260b6a41663265
13243337289aa13
14d55cdc7bb32d
156403191be965
hex314e789353ad

54213100131245 has 24 divisors (see below), whose sum is σ = 73973303936280. Its totient is φ = 38068132995200.

The previous prime is 54213100131121. The next prime is 54213100131329.

54213100131245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 18610708164169 + 35602391967076 = 4314013^2 + 5966774^2 .

It is not a de Polignac number, because 54213100131245 - 212 = 54213100127149 is a prime.

It is a Curzon number.

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, 1544955386 + ... + 1544990475.

It is an arithmetic number, because the mean of its divisors is an integer number (3082220997345).

Almost surely, 254213100131245 is an apocalyptic number.

54213100131245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54213100131245 is a deficient number, since it is larger than the sum of its proper divisors (19760203805035).

54213100131245 is a wasteful number, since it uses less digits than its factorization.

54213100131245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089945917 (or 3089945906 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

It can be divided in two parts, 54213100 and 131245, that added together give a palindrome (54344345).

The spelling of 54213100131245 in words is "fifty-four trillion, two hundred thirteen billion, one hundred million, one hundred thirty-one thousand, two hundred forty-five".

Divisors: 1 5 11 29 55 121 145 319 605 1595 3509 17545 3089945861 15449729305 33989404471 89608429969 169947022355 373883449181 448042149845 985692729659 1869417245905 4928463648295 10842620026249 54213100131245