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121144005111 = 31923225141051
BaseRepresentation
bin111000011010010111…
…1101101000111110111
3102120200201211002111010
41300310233231013313
53441100331130421
6131353000243303
711516030024163
oct1606457550767
9376621732433
10121144005111
11474166a6098
121b58aa70533
13b56820487c
145c1325bca3
153240630076
hex1c34bed1f7

121144005111 has 32 divisors (see below), whose sum is σ = 177502279680. Its totient is φ = 73151100000.

The previous prime is 121144005109. The next prime is 121144005113. The reversal of 121144005111 is 111500441121.

It is an interprime number because it is at equal distance from previous prime (121144005109) and next prime (121144005113).

It is not a de Polignac number, because 121144005111 - 21 = 121144005109 is a prime.

It is a super-3 number, since 3×1211440051113 (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 (121144005113) 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 31 ways as a sum of consecutive naturals, for example, 2930536 + ... + 2971586.

It is an arithmetic number, because the mean of its divisors is an integer number (5546946240).

Almost surely, 2121144005111 is an apocalyptic number.

121144005111 is a deficient number, since it is larger than the sum of its proper divisors (56358274569).

121144005111 is a wasteful number, since it uses less digits than its factorization.

121144005111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43347.

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 121144005111 its reverse (111500441121), we get a palindrome (232644446232).

The spelling of 121144005111 in words is "one hundred twenty-one billion, one hundred forty-four million, five thousand, one hundred eleven".

Divisors: 1 3 19 23 57 69 437 1311 2251 6753 41051 42769 51773 123153 128307 155319 779969 944173 983687 2339907 2832519 2951061 17939287 53817861 92405801 277217403 1755710219 2125333423 5267130657 6376000269 40381335037 121144005111