Search a number
-
+
11143142410001 = 747124927117481
BaseRepresentation
bin1010001000100111011100…
…0010111000011100010001
31110110021101202100112012012
42202021313002320130101
52430032123424110001
635411031114112305
72230031312453660
oct242116702703421
943407352315165
1011143142410001
113606864431208
1212bb747a1b695
1362aa4203c844
142a748c27add7
15144cd32002bb
hexa22770b8711

11143142410001 has 16 divisors (see below), whose sum is σ = 13016391360000. Its totient is φ = 9340561751040.

The previous prime is 11143142409953. The next prime is 11143142410021. The reversal of 11143142410001 is 10001424134111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11143142410001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11143142410021) 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 15 ways as a sum of consecutive naturals, for example, 13147820 + ... + 13969661.

It is an arithmetic number, because the mean of its divisors is an integer number (813524460000).

Almost surely, 211143142410001 is an apocalyptic number.

It is an amenable number.

11143142410001 is a deficient number, since it is larger than the sum of its proper divisors (1873248949999).

11143142410001 is a wasteful number, since it uses less digits than its factorization.

11143142410001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27118784.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 11143142410001 its reverse (10001424134111), we get a palindrome (21144566544112).

The spelling of 11143142410001 in words is "eleven trillion, one hundred forty-three billion, one hundred forty-two million, four hundred ten thousand, one".

Divisors: 1 7 47 329 1249 8743 58703 410921 27117481 189822367 1274521607 8921651249 33869733769 237088136383 1591877487143 11143142410001