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101101056078 = 231121187117319
BaseRepresentation
bin101111000101000010…
…1111011000001001110
3100122221220110210020110
41132022011323001032
53124023332243303
6114240054300450
710206243540351
oct1361205730116
9318856423213
10101101056078
1139970a01900
1217716657726
1396c2970009
144c71396298
15296ac2d703
hex178a17b04e

101101056078 has 48 divisors (see below), whose sum is σ = 222444351360. Its totient is φ = 30610612560.

The previous prime is 101101056041. The next prime is 101101056083. The reversal of 101101056078 is 870650101101.

101101056078 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803103 + ... + 920421.

It is an arithmetic number, because the mean of its divisors is an integer number (4634257320).

Almost surely, 2101101056078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101056078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111222175680).

101101056078 is an abundant number, since it is smaller than the sum of its proper divisors (121343295282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101056078 is a wasteful number, since it uses less digits than its factorization.

101101056078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118533 (or 118522 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 30.

Adding to 101101056078 its reverse (870650101101), we get a palindrome (971751157179).

The spelling of 101101056078 in words is "one hundred one billion, one hundred one million, fifty-six thousand, seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1187 2374 3561 7122 13057 26114 39171 78342 117319 143627 234638 287254 351957 430881 703914 861762 1290509 2581018 3871527 7743054 14195599 28391198 42586797 85173594 139257653 278515306 417772959 835545918 1531834183 3063668366 4595502549 9191005098 16850176013 33700352026 50550528039 101101056078