Search a number
-
+
10011010000101 = 311674527819991
BaseRepresentation
bin1001000110101101111010…
…1100011110010011100101
31022110001011111111012121220
42101223132230132103211
52303010022030000401
633142554451330553
72052162105660045
oct221533654362345
938401144435556
1010011010000101
11320a711182060
12115824abb0a59
1357805a174796
1426876d483725
1512562180a336
hex91adeb1e4e5

10011010000101 has 16 divisors (see below), whose sum is σ = 14778804453888. Its totient is φ = 5976722386800.

The previous prime is 10011010000091. The next prime is 10011010000127. The reversal of 10011010000101 is 10100001011001.

It is not a de Polignac number, because 10011010000101 - 213 = 10011009991909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011010000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011010000141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263907785 + ... + 2263912206.

It is an arithmetic number, because the mean of its divisors is an integer number (923675278368).

Almost surely, 210011010000101 is an apocalyptic number.

10011010000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011010000101 is a deficient number, since it is larger than the sum of its proper divisors (4767794453787).

10011010000101 is a wasteful number, since it uses less digits than its factorization.

10011010000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527820072.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011010000101 its reverse (10100001011001), we get a palindrome (20111011011102).

It can be divided in two parts, 1001 and 1010000101, that multiplied together give a palindrome (1011010101101).

The spelling of 10011010000101 in words is "ten trillion, eleven billion, ten million, one hundred one", and thus it is an aban number.

Divisors: 1 3 11 33 67 201 737 2211 4527819991 13583459973 49806019901 149418059703 303363939397 910091818191 3337003333367 10011010000101