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1001403031101 = 311178147219103
BaseRepresentation
bin11101001001010000100…
…01011001111000111101
310112201210111110210022220
432210220101121320331
5112401333133443401
62044012130155553
7132230462214504
oct16445021317075
93481714423286
101001403031101
113567689a4a30
121420b3a22bb9
137357cb68b65
143667a90783b
151b0aea09336
hexe928459e3d

1001403031101 has 32 divisors (see below), whose sum is σ = 1542464114688. Its totient is φ = 571137565440.

The previous prime is 1001403031081. The next prime is 1001403031117. The reversal of 1001403031101 is 1011303041001.

1001403031101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001403031101 - 27 = 1001403030973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001403031001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4460916 + ... + 4680018.

It is an arithmetic number, because the mean of its divisors is an integer number (48202003584).

Almost surely, 21001403031101 is an apocalyptic number.

1001403031101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001403031101 is a deficient number, since it is larger than the sum of its proper divisors (541061083587).

1001403031101 is a wasteful number, since it uses less digits than its factorization.

1001403031101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227281.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001403031101 its reverse (1011303041001), we get a palindrome (2012706072102).

The spelling of 1001403031101 in words is "one trillion, one billion, four hundred three million, thirty-one thousand, one hundred one".

Divisors: 1 3 11 17 33 51 187 561 8147 24441 89617 138499 219103 268851 415497 657309 1523489 2410133 3724751 4570467 7230399 11174253 40972261 122916783 1785032141 5355096423 19635353551 30345546397 58906060653 91036639191 333801010367 1001403031101