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103540135149 = 32114912130061
BaseRepresentation
bin110000001101101111…
…0010001010011101101
3100220020220000211201100
41200123132101103231
53144022233311044
6115322104233313
710323551425143
oct1403336212355
9326226024640
10103540135149
113aa02786030
121809746b839
1399c108c279
1450232a9593
152a5ee23869
hex181b7914ed

103540135149 has 24 divisors (see below), whose sum is σ = 163486518624. Its totient is φ = 62623764000.

The previous prime is 103540135099. The next prime is 103540135177. The reversal of 103540135149 is 941531045301.

103540135149 is a `hidden beast` number, since 10 + 3 + 540 + 13 + 51 + 49 = 666.

It is not a de Polignac number, because 103540135149 - 27 = 103540135021 is a prime.

It is a super-3 number, since 3×1035401351493 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103540135189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016422 + ... + 1113639.

It is an arithmetic number, because the mean of its divisors is an integer number (6811938276).

Almost surely, 2103540135149 is an apocalyptic number.

It is an amenable number.

103540135149 is a deficient number, since it is larger than the sum of its proper divisors (59946383475).

103540135149 is a wasteful number, since it uses less digits than its factorization.

103540135149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130569 (or 2130566 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 103540135149 in words is "one hundred three billion, five hundred forty million, one hundred thirty-five thousand, one hundred forty-nine".

Divisors: 1 3 9 11 33 99 491 1473 4419 5401 16203 48609 2130061 6390183 19170549 23430671 70292013 210876039 1045859951 3137579853 9412739559 11504459461 34513378383 103540135149