Search a number
-
+
101078088881 = 7114132017133
BaseRepresentation
bin101111000100010111…
…0010011110010110001
3100122220022020221011112
41132020232103302301
53124001442321011
6114233514123105
710205544402530
oct1361056236261
9318808227145
10101078088881
1139959a45250
121770aa20495
1396bac8b163
144c6c2d8317
152968be358b
hex1788b93cb1

101078088881 has 16 divisors (see below), whose sum is σ = 129093084288. Its totient is φ = 76841116800.

The previous prime is 101078088871. The next prime is 101078088883. The reversal of 101078088881 is 188880870101.

It is not a de Polignac number, because 101078088881 - 226 = 101010980017 is a prime.

It is a super-2 number, since 2×1010780888812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101078088883) 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, 16005410 + ... + 16011723.

It is an arithmetic number, because the mean of its divisors is an integer number (8068317768).

Almost surely, 2101078088881 is an apocalyptic number.

101078088881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101078088881 is a deficient number, since it is larger than the sum of its proper divisors (28014995407).

101078088881 is a wasteful number, since it uses less digits than its factorization.

101078088881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32017192.

The product of its (nonzero) digits is 229376, while the sum is 50.

The spelling of 101078088881 in words is "one hundred one billion, seventy-eight million, eighty-eight thousand, eight hundred eighty-one".

Divisors: 1 7 11 41 77 287 451 3157 32017133 224119931 352188463 1312702453 2465319241 9188917171 14439726983 101078088881