Search a number
-
+
11232313011441 = 328346741537753
BaseRepresentation
bin1010001101110011101000…
…0001101110110011110001
31110202210120012120102101100
42203130322001232303301
52433012234112331231
635520015305355013
72236336121201634
oct243347201566361
943683505512340
1011232313011441
113640662961945
121314a92a98a69
13636283087932
142ab90ad59c1b
151472a18491e6
hexa373a06ecf1

11232313011441 has 48 divisors (see below), whose sum is σ = 16461173042496. Its totient is φ = 7379418290688.

The previous prime is 11232313011431. The next prime is 11232313011473. The reversal of 11232313011441 is 14411031323211.

11232313011441 is a `hidden beast` number, since 1 + 1 + 232 + 313 + 0 + 114 + 4 + 1 = 666.

It is not a de Polignac number, because 11232313011441 - 26 = 11232313011377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11232313011431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1448766021 + ... + 1448773773.

It is an arithmetic number, because the mean of its divisors is an integer number (342941105052).

Almost surely, 211232313011441 is an apocalyptic number.

It is an amenable number.

11232313011441 is a deficient number, since it is larger than the sum of its proper divisors (5228860031055).

11232313011441 is a wasteful number, since it uses less digits than its factorization.

11232313011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12459 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11232313011441 its reverse (14411031323211), we get a palindrome (25643344334652).

The spelling of 11232313011441 in words is "eleven trillion, two hundred thirty-two billion, three hundred thirteen million, eleven thousand, four hundred forty-one".

Divisors: 1 3 9 83 249 467 747 1401 4153 4203 7753 12459 23259 37377 38761 69777 116283 344699 348849 643499 1034097 1930497 1939451 3102291 3620651 5791491 5818353 10861953 17455059 32198209 32585859 96594627 160974433 289783881 300514033 482923299 901542099 1448769897 2672451347 2704626297 8017354041 15036563603 24052062123 45109690809 135329072427 1248034779049 3744104337147 11232313011441