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11033313203232 = 2532101933758473
BaseRepresentation
bin1010000010001110010010…
…1101101101010000100000
31110001202220120022202002100
42200203210231231100200
52421232211140000412
635244344545050400
72216062533554655
oct240434455552040
943052816282070
1011033313203232
113574224735631
1212a23b6326a00
1362058b042028
142a202da35c2c
151420060e2edc
hexa08e4b6d420

11033313203232 has 72 divisors (see below), whose sum is σ = 31379070959964. Its totient is φ = 3677409275904.

The previous prime is 11033313203219. The next prime is 11033313203273. The reversal of 11033313203232 is 23230231333011.

11033313203232 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 3 + 313 + 20 + 323 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10954484779536 + 78828423696 = 3309756^2 + 280764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×110333132032322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11033313203196 and 11033313203205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056348 + ... + 4814820.

Almost surely, 211033313203232 is an apocalyptic number.

11033313203232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11033313203232 is an abundant number, since it is smaller than the sum of its proper divisors (20345757756732).

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

11033313203232 is a wasteful number, since it uses less digits than its factorization.

11033313203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768682 (or 3768671 counting only the distinct ones).

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

Adding to 11033313203232 its reverse (23230231333011), we get a palindrome (34263544536243).

The spelling of 11033313203232 in words is "eleven trillion, thirty-three billion, three hundred thirteen million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10193 20386 30579 40772 61158 81544 91737 122316 163088 183474 244632 326176 366948 489264 733896 978528 1467792 2935584 3758473 7516946 11275419 15033892 22550838 30067784 33826257 45101676 60135568 67652514 90203352 120271136 135305028 180406704 270610056 360813408 541220112 1082440224 38310115289 76620230578 114930345867 153240461156 229860691734 306480922312 344791037601 459721383468 612961844624 689582075202 919442766936 1225923689248 1379164150404 1838885533872 2758328300808 3677771067744 5516656601616 11033313203232