Search a number
-
+
101100011011000 = 2353101100011011
BaseRepresentation
bin10110111111001100101110…
…001111100011101110111000
3111020222001210121002201021021
4112333030232033203232320
5101222410310304323000
6555004412012152224
730203143343356651
oct2677145617435670
9436861717081237
10101100011011000
112a2393015a8971
12b409a39168674
1344548c82a7cb1
141ad73a3944528
15ba4c9b1e811a
hex5bf32e3e3bb8

101100011011000 has 32 divisors (see below), whose sum is σ = 236574025768080. Its totient is φ = 40440004404000.

The previous prime is 101100011010979. The next prime is 101100011011003. The reversal of 101100011011000 is 110110001101.

It is a happy number.

101100011011000 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 (101100011011003) 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 7 ways as a sum of consecutive naturals, for example, 50550004506 + ... + 50550006505.

Almost surely, 2101100011011000 is an apocalyptic number.

101100011011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100011011000 is an abundant number, since it is smaller than the sum of its proper divisors (135474014757080).

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

101100011011000 is a wasteful number, since it uses less digits than its factorization.

101100011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101100011032 (or 101100011018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101100011011000 its reverse (110110001101), we get a palindrome (101210121012101).

The spelling of 101100011011000 in words is "one hundred one trillion, one hundred billion, eleven million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 101100011011 202200022022 404400044044 505500055055 808800088088 1011000110110 2022000220220 2527500275275 4044000440440 5055000550550 10110001101100 12637501376375 20220002202200 25275002752750 50550005505500 101100011011000