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11154326141 = 72974994703
BaseRepresentation
bin10100110001101100…
…11000001001111101
31001210100211110220102
422120312120021331
5140321001414031
65042455530445
7543262131200
oct123066301175
931710743812
1011154326141
114804365362
1221b3689a25
131089bac6aa
1477b5a3937
154543c57cb
hex298d9827d

11154326141 has 24 divisors (see below), whose sum is σ = 13138272000. Its totient is φ = 9441315072.

The previous prime is 11154326129. The next prime is 11154326153. The reversal of 11154326141 is 14162345111.

11154326141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11154326129) and next prime (11154326153).

It is not a de Polignac number, because 11154326141 - 218 = 11154063997 is a prime.

It is a super-3 number, since 3×111543261413 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11154326111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2369396 + ... + 2374098.

It is an arithmetic number, because the mean of its divisors is an integer number (547428000).

Almost surely, 211154326141 is an apocalyptic number.

It is an amenable number.

11154326141 is a deficient number, since it is larger than the sum of its proper divisors (1983945859).

11154326141 is an equidigital number, since it uses as much as digits as its factorization.

11154326141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5306 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The spelling of 11154326141 in words is "eleven billion, one hundred fifty-four million, three hundred twenty-six thousand, one hundred forty-one".

Divisors: 1 7 49 97 499 679 3493 4703 4753 24451 32921 48403 230447 338821 456191 2346797 2371747 3193337 16427579 22353359 114993053 227639309 1593475163 11154326141