Search a number
-
+
11331121030002 = 2326177571347781
BaseRepresentation
bin1010010011100011101101…
…1100011010001101110010
31111010020121022021211111100
42210320323130122031302
52441122113440430002
640033240052225230
72246434512406614
oct244707334321562
944106538254440
1011331121030002
113679557468714
12133006960b216
1364269b94c8c7
142b2601976db4
15149b360ce11c
hexa4e3b71a372

11331121030002 has 48 divisors (see below), whose sum is σ = 24623055257112. Its totient is φ = 3765934529280.

The previous prime is 11331121029997. The next prime is 11331121030027. The reversal of 11331121030002 is 20003012113311.

11331121030002 is a `hidden beast` number, since 11 + 331 + 1 + 21 + 0 + 300 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9731910399201 + 1599210630801 = 3119601^2 + 1264599^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7733352 + ... + 9081132.

Almost surely, 211331121030002 is an apocalyptic number.

11331121030002 is an abundant number, since it is smaller than the sum of its proper divisors (13291934227110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331121030002 is a wasteful number, since it uses less digits than its factorization.

11331121030002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349163 (or 1349160 counting only the distinct ones).

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

Adding to 11331121030002 its reverse (20003012113311), we get a palindrome (31334133143313).

The spelling of 11331121030002 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, thirty thousand, two".

Divisors: 1 2 3 6 9 18 617 757 1234 1514 1851 2271 3702 4542 5553 6813 11106 13626 467069 934138 1347781 1401207 2695562 2802414 4043343 4203621 8086686 8407242 12130029 24260058 831580877 1020270217 1663161754 2040540434 2494742631 3060810651 4989485262 6121621302 7484227893 9182431953 14968455786 18364863906 629506723889 1259013447778 1888520171667 3777040343334 5665560515001 11331121030002