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1141303330035 = 335115314501027
BaseRepresentation
bin10000100110111010111…
…110101100010011110011
311001002220101120022221000
4100212322332230103303
5122144342123030120
62232150231133043
7145312363145241
oct20467276542363
94032811508830
101141303330035
11400029a811a0
12165238214183
1383816b9042b
143d34cbc1791
151ea4bad4990
hex109bafac4f3

1141303330035 has 64 divisors (see below), whose sum is σ = 2255199874560. Its totient is φ = 542918413440.

The previous prime is 1141303330033. The next prime is 1141303330081. The reversal of 1141303330035 is 5300333031411.

1141303330035 is a `hidden beast` number, since 11 + 41 + 303 + 3 + 300 + 3 + 5 = 666.

It is not a de Polignac number, because 1141303330035 - 21 = 1141303330033 is a prime.

It is a super-2 number, since 2×11413033300352 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1141303329990 and 1141303330008.

It is not an unprimeable number, because it can be changed into a prime (1141303330033) 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 63 ways as a sum of consecutive naturals, for example, 7171809 + ... + 7329218.

It is an arithmetic number, because the mean of its divisors is an integer number (35237498040).

Almost surely, 21141303330035 is an apocalyptic number.

1141303330035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1141303330035 is a deficient number, since it is larger than the sum of its proper divisors (1113896544525).

1141303330035 is a wasteful number, since it uses less digits than its factorization.

1141303330035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501105 (or 14501099 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 1141303330035 its reverse (5300333031411), we get a palindrome (6441636361446).

The spelling of 1141303330035 in words is "one trillion, one hundred forty-one billion, three hundred three million, three hundred thirty thousand, thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 53 55 99 135 159 165 265 297 477 495 583 795 1431 1485 1749 2385 2915 5247 7155 8745 15741 26235 78705 14501027 43503081 72505135 130509243 159511297 217515405 391527729 478533891 652546215 768554431 797556485 1435601673 1957638645 2305663293 2392669455 3842772155 4306805019 6916989879 7178008365 8454098741 11528316465 20750969637 21534025095 25362296223 34584949395 42270493705 76086888669 103754848185 126811481115 228260666007 380434443345 1141303330035