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1054103211135 = 325132776505003
BaseRepresentation
bin11110101011011010111…
…00101000110001111111
310201202211021011022121200
433111231130220301333
5114232300410224020
62124125350030543
7136104442313322
oct17255534506177
93652737138550
101054103211135
11377051867227
12150361048453
137852b156240
1439039ab67b9
151c64646c590
hexf56d728c7f

1054103211135 has 48 divisors (see below), whose sum is σ = 1974763094304. Its totient is φ = 517069598976.

The previous prime is 1054103211019. The next prime is 1054103211173. The reversal of 1054103211135 is 5311123014501.

1054103211135 is a `hidden beast` number, since 1 + 0 + 5 + 410 + 3 + 211 + 1 + 35 = 666.

It is not a de Polignac number, because 1054103211135 - 28 = 1054103210879 is a prime.

It is a super-2 number, since 2×10541032111352 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054103211099 and 1054103211108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3090457 + ... + 3414546.

It is an arithmetic number, because the mean of its divisors is an integer number (41140897798).

Almost surely, 21054103211135 is an apocalyptic number.

1054103211135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1054103211135 is a deficient number, since it is larger than the sum of its proper divisors (920659883169).

1054103211135 is a wasteful number, since it uses less digits than its factorization.

1054103211135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505304 (or 6505301 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1054103211135 its reverse (5311123014501), we get a palindrome (6365226225636).

The spelling of 1054103211135 in words is "one trillion, fifty-four billion, one hundred three million, two hundred eleven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 277 585 831 1385 2493 3601 4155 10803 12465 18005 32409 54015 162045 6505003 19515009 32525015 58545027 84565039 97575045 253695117 292725135 422825195 761085351 1268475585 1801885831 3805426755 5405657493 9009429155 16216972479 23424515803 27028287465 70273547409 81084862395 117122579015 210820642227 351367737045 1054103211135