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10001011100101 = 72613345938809
BaseRepresentation
bin1001000110001000101010…
…1101101100100111000101
31022102002100122210110102021
42101202022231230213011
52302324032320200401
633134222344243141
72051356243506100
oct221421255544705
938362318713367
1010001011100101
11320645004953a
12115631a4704b1
13577125780bc8
142680a1529737
15125238ab82a1
hex9188ab6c9c5

10001011100101 has 12 divisors (see below), whose sum is σ = 11824547754540. Its totient is φ = 8431765796160.

The previous prime is 10001011100089. The next prime is 10001011100131. The reversal of 10001011100101 is 10100111010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3083532488001 + 6917478612100 = 1755999^2 + 2630110^2 .

It is not a de Polignac number, because 10001011100101 - 217 = 10001010969029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011100131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1672966416 + ... + 1672972393.

It is an arithmetic number, because the mean of its divisors is an integer number (985378979545).

Almost surely, 210001011100101 is an apocalyptic number.

It is an amenable number.

10001011100101 is a deficient number, since it is larger than the sum of its proper divisors (1823536654439).

10001011100101 is an equidigital number, since it uses as much as digits as its factorization.

10001011100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345938884 (or 3345938877 counting only the distinct ones).

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

Adding to 10001011100101 its reverse (10100111010001), we get a palindrome (20101122110102).

The spelling of 10001011100101 in words is "ten trillion, one billion, eleven million, one hundred thousand, one hundred one".

Divisors: 1 7 49 61 427 2989 3345938809 23421571663 163951001641 204102267349 1428715871443 10001011100101