Search a number
-
+
1011100343031 = 33238132174889
BaseRepresentation
bin11101011011010100100…
…01101101101011110111
310120122211022200021111000
432231222101231223313
5113031213141434111
62052254301214343
7133023003053112
oct16555221555367
93518738607430
101011100343031
1135a894869a09
12143b5b5613b3
1374466c26b5c
1436d1a797579
151b47b026c56
hexeb6a46daf7

1011100343031 has 32 divisors (see below), whose sum is σ = 1499327985600. Its totient is φ = 673436574720.

The previous prime is 1011100343027. The next prime is 1011100343101. The reversal of 1011100343031 is 1303430011101.

1011100343031 is a `hidden beast` number, since 101 + 1 + 100 + 3 + 430 + 31 = 666.

It is not a de Polignac number, because 1011100343031 - 22 = 1011100343027 is a prime.

It is a super-3 number, since 3×10111003430313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1011100342995 and 1011100343013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100343531) 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, 206808835 + ... + 206813723.

It is an arithmetic number, because the mean of its divisors is an integer number (46853999550).

Almost surely, 21011100343031 is an apocalyptic number.

1011100343031 is a deficient number, since it is larger than the sum of its proper divisors (488227642569).

1011100343031 is a wasteful number, since it uses less digits than its factorization.

1011100343031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011100343031 its reverse (1303430011101), we get a palindrome (2314530354132).

The spelling of 1011100343031 in words is "one trillion, eleven billion, one hundred million, three hundred forty-three thousand, thirty-one".

Divisors: 1 3 9 27 2381 3217 4889 7143 9651 14667 21429 28953 44001 64287 86859 132003 7659677 11640709 15727913 22979031 34922127 47183739 68937093 104766381 141551217 206811279 314299143 424653651 37448160853 112344482559 337033447677 1011100343031