Search a number
-
+
10110000001100 = 22527310729129083
BaseRepresentation
bin1001001100011110101011…
…1101010111000001001100
31022210111200021122021201012
42103013222331113001030
52311120240000013400
633300245254504352
72062265140051046
oct223075275270114
938714607567635
1010110000001100
113248699484a3a
1211734766650b8
135844a4655a7c
1426d480312a96
15127eb703ad35
hex931eaf5704c

10110000001100 has 72 divisors (see below), whose sum is σ = 22241475256560. Its totient is φ = 3988200084480.

The previous prime is 10110000001093. The next prime is 10110000001117. The reversal of 10110000001100 is 110000001101.

10110000001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 78257159 + ... + 78386241.

Almost surely, 210110000001100 is an apocalyptic number.

10110000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110000001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11120737628280).

10110000001100 is an abundant number, since it is smaller than the sum of its proper divisors (12131475255460).

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

10110000001100 is a wasteful number, since it uses less digits than its factorization.

10110000001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139899 (or 139892 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10110000001100 its reverse (110000001101), we get a palindrome (10220000002201).

Subtracting from 10110000001100 its reverse (110000001101), we obtain a palindrome (9999999999999).

The spelling of 10110000001100 in words is "ten trillion, one hundred ten billion, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 10729 21458 42916 53645 107290 129083 214580 258166 268225 516332 536450 645415 783217 1072900 1290830 1566434 2581660 3132868 3227075 3916085 6454150 7832170 9423059 12908300 15664340 18846118 19580425 37692236 39160850 47115295 78321700 94230590 188461180 235576475 471152950 942305900 1384931507 2769863014 5539726028 6924657535 13849315070 27698630140 34623287675 69246575350 101100000011 138493150700 202200000022 404400000044 505500000055 1011000000110 2022000000220 2527500000275 5055000000550 10110000001100