Search a number
101101001000000 = 2656694914549
BaseRepresentation
bin10110111111001101101001…
…010000000100010001000000
3111020222011100120221100212112
4112333031221100010101000
5101222414322224000000
6555005054135114452
730203210024214161
oct2677155120042100
9436864316840775
10101101001000000
112a23976a4042a1
12b40a074812a28
134454a2541b5c1
15ba4d0809d235
hex5bf369404440

101101001000000 has 196 divisors, whose sum is σ = 250827990532500. Its totient is φ = 40431801600000.

The previous prime is 101101000999913. The next prime is 101101001000071. The reversal of 101101001000000 is 100101101.

Adding to 101101001000000 its reverse (100101101), we get a palindrome (101101101101101).

It can be written as a sum of positive squares in 14 ways, for example, as 101010057741376 + 90943258624 = 10050376^2 + 301568^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6948992726 + ... + 6949007274.

Almost surely, 2101101001000000 is an apocalyptic number.

101101001000000 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 101101001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125413995266250).

101101001000000 is an abundant number, since it is smaller than the sum of its proper divisors (149726989532500).

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

101101001000000 is an frugal number, since it uses more digits than its factorization.

101101001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21540 (or 21505 counting only the distinct ones).

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

The spelling of 101101001000000 in words is "one hundred one trillion, one hundred one billion, one million", and thus it is an aban number.