Search a number
-
+
101101101101000 = 23537111310129901
BaseRepresentation
bin10110111111001101101111…
…001101111010111111001000
3111020222011121120022000121222
4112333031233031322333020
5101222420023340213000
6555005112112421212
730203212351106630
oct2677155715727710
9436864546260558
10101101101101000
112a2398109646a0
12b40a0a2247808
134454a40099070
141ad74686236c0
15ba4d11c72a85
hex5bf36f37afc8

101101101101000 has 768 divisors, whose sum is σ = 320849781557760. Its totient is φ = 28797120000000.

The previous prime is 101101101100999. The next prime is 101101101101023. The reversal of 101101101101000 is 101101101101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10211196050 + ... + 10211205950.

It is an arithmetic number, because the mean of its divisors is an integer number (417773153070).

Almost surely, 2101101101101000 is an apocalyptic number.

101101101101000 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 101101101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160424890778880).

101101101101000 is an abundant number, since it is smaller than the sum of its proper divisors (219748680456760).

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

101101101101000 is a wasteful number, since it uses less digits than its factorization.

101101101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10155 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101101101101000 its reverse (101101101101), we get a palindrome (101202202202101).

101101101101000 divided by its reverse (101101101101) gives a cube (1000 = 103).

It can be divided in two parts, 101101101 and 101000, that added together give a palindrome (101202101).

The spelling of 101101101101000 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred one thousand".