Search a number
-
+
11003111400141 = 3273724119586471
BaseRepresentation
bin1010000000011101110010…
…0010111110001011001101
31102221212221202022011220200
42200013130202332023031
52420233333004301031
635222432023404113
72213643233511630
oct240073442761315
942855852264820
1011003111400141
113562436597993
1212985878b3639
1361a786c11023
142a07a6899c17
151413399058e6
hexa01dc8be2cd

11003111400141 has 48 divisors (see below), whose sum is σ = 18732188437248. Its totient is φ = 6092175628800.

The previous prime is 11003111400101. The next prime is 11003111400163. The reversal of 11003111400141 is 14100411130011.

11003111400141 is a `hidden beast` number, since 1 + 10 + 0 + 3 + 111 + 400 + 141 = 666.

It is not a de Polignac number, because 11003111400141 - 210 = 11003111399117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003111400101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9231465 + ... + 10355006.

It is an arithmetic number, because the mean of its divisors is an integer number (390253925776).

Almost surely, 211003111400141 is an apocalyptic number.

It is an amenable number.

11003111400141 is a deficient number, since it is larger than the sum of its proper divisors (7729077037107).

11003111400141 is a wasteful number, since it uses less digits than its factorization.

11003111400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19586762 (or 19586759 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11003111400141 its reverse (14100411130011), we get a palindrome (25103522530152).

The spelling of 11003111400141 in words is "eleven trillion, three billion, one hundred eleven million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 37 63 111 241 259 333 723 777 1687 2169 2331 5061 8917 15183 26751 62419 80253 187257 561771 19586471 58759413 137105297 176278239 411315891 724699427 1233947673 2174098281 4720339511 5072895989 6522294843 14161018533 15218687967 33042376577 42483055599 45656063901 99127129731 174652561907 297381389193 523957685721 1222567933349 1571873057163 3667703800047 11003111400141