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11330033232231 = 337205391291869
BaseRepresentation
bin1010010011011111101010…
…0110110010100101100111
31111010010210111101222111000
42210313322212302211213
52441112402001412411
640032540113044343
72246365533314550
oct244677246624547
944103714358430
1011330033232231
11367904942809a
12132ba052566b3
13642557481c9c
142b253b2d3327
15149ac0858956
hexa4dfa9b2967

11330033232231 has 32 divisors (see below), whose sum is σ = 19183284172800. Its totient is φ = 6474251000160.

The previous prime is 11330033232191. The next prime is 11330033232257. The reversal of 11330033232231 is 13223233003311.

11330033232231 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 0 + 332 + 322 + 3 + 1 = 666.

It is not a de Polignac number, because 11330033232231 - 29 = 11330033231719 is a prime.

It is a super-2 number, since 2×113300332322312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11330033232195 and 11330033232204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330033232031) 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, 38672965 + ... + 38964833.

It is an arithmetic number, because the mean of its divisors is an integer number (599477630400).

Almost surely, 211330033232231 is an apocalyptic number.

11330033232231 is a deficient number, since it is larger than the sum of its proper divisors (7853250940569).

11330033232231 is a wasteful number, since it uses less digits than its factorization.

11330033232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497276 (or 497270 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11330033232231 its reverse (13223233003311), we get a palindrome (24553266235542).

The spelling of 11330033232231 in words is "eleven trillion, three hundred thirty billion, thirty-three million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 205391 291869 616173 875607 1437737 1848519 2043083 2626821 4313211 5545557 6129249 7880463 12939633 18387747 38818899 55163241 59947265779 179841797337 419630860453 539525392011 1258892581359 1618576176033 3776677744077 11330033232231