Search a number
-
+
1010101000101 = 323291014998001
BaseRepresentation
bin11101011001011101011…
…01100001011110100101
310120120020200020101200220
432230232231201132211
5113022141324000401
62052011201554553
7132656146556634
oct16545655413645
93516220211626
101010101000101
1135a421754866
12143920945a59
1374337b89a8b
1436c63b7b51b
151b41d425336
hexeb2eb617a5

1010101000101 has 32 divisors (see below), whose sum is σ = 1468213067520. Its totient is φ = 615753600000.

The previous prime is 1010101000093. The next prime is 1010101000121. The reversal of 1010101000101 is 1010001010101.

It is not a de Polignac number, because 1010101000101 - 23 = 1010101000093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010101000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2296900 + ... + 2701101.

It is an arithmetic number, because the mean of its divisors is an integer number (45881658360).

Almost surely, 21010101000101 is an apocalyptic number.

It is an amenable number.

1010101000101 is a deficient number, since it is larger than the sum of its proper divisors (458112067419).

1010101000101 is a wasteful number, since it uses less digits than its factorization.

1010101000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998157.

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

Adding to 1010101000101 its reverse (1010001010101), we get a palindrome (2020102010202).

The spelling of 1010101000101 in words is "one trillion, ten billion, one hundred one million, one hundred one", and thus it is an aban number.

Divisors: 1 3 23 29 69 87 101 303 667 2001 2323 2929 6969 8787 67367 202101 4998001 14994003 114954023 144942029 344862069 434826087 504798101 1514394303 3333666667 10001000001 11610356323 14639144929 34831068969 43917434787 336700333367 1010101000101