Search a number
-
+
101011011000088 = 23713129346993931
BaseRepresentation
bin10110111101111001110101…
…011011011101011100011000
3111020122120002000212201021211
4112331321311123131130120
5101214431022304000323
6554455452353112504
730163543005640330
oct2675716533353430
9436576060781254
10101011011000088
112a2045903a3442
12b3b473b258734
1344493b36bac47
141ad2d5d7900c0
15ba27dca4970d
hex5bde756dd718

101011011000088 has 64 divisors (see below), whose sum is σ = 218848861566720. Its totient is φ = 42813349987200.

The previous prime is 101011011000079. The next prime is 101011011000089. The reversal of 101011011000088 is 880000110110101.

101011011000088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011011000089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21347518 + ... + 25646413.

It is an arithmetic number, because the mean of its divisors is an integer number (3419513461980).

Almost surely, 2101011011000088 is an apocalyptic number.

It is an amenable number.

101011011000088 is an abundant number, since it is smaller than the sum of its proper divisors (117837850566632).

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

101011011000088 is a wasteful number, since it uses less digits than its factorization.

101011011000088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46994368 (or 46994364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 101011011000088 its reverse (880000110110101), we get a palindrome (981011121110189).

The spelling of 101011011000088 in words is "one hundred one trillion, eleven billion, eleven million, eighty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 131 262 293 524 586 917 1048 1172 1834 2051 2344 3668 4102 7336 8204 16408 38383 76766 153532 268681 307064 537362 1074724 2149448 46993931 93987862 187975724 328957517 375951448 657915034 1315830068 2631660136 6156204961 12312409922 13769221783 24624819844 27538443566 43093434727 49249639688 55076887132 86186869454 96384552481 110153774264 172373738908 192769104962 344747477816 385538209924 771076419848 1803768053573 3607536107146 7215072214292 12626376375011 14430144428584 25252752750022 50505505500044 101011011000088