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11333013312132 = 22321975992667779
BaseRepresentation
bin1010010011101010110000…
…1110111001001010000100
31111010102111011221201120200
42210322230032321022010
52441140002401442012
640034151530330500
72246532430503261
oct244725416711204
944112434851520
1011333013312132
11367a338622246
1213304b7289a30
136429109b0585
142b2740dd2268
15149be72b53dc
hexa4eac3b9284

11333013312132 has 72 divisors (see below), whose sum is σ = 28840836024000. Its totient is φ = 3752219085888.

The previous prime is 11333013312067. The next prime is 11333013312149. The reversal of 11333013312132 is 23121331033311.

11333013312132 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 301 + 331 + 21 + 3 + 2 = 666.

It is a super-2 number, since 2×113330133121322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11333013312096 and 11333013312105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2914219 + ... + 5581997.

It is an arithmetic number, because the mean of its divisors is an integer number (400567167000).

Almost surely, 211333013312132 is an apocalyptic number.

11333013312132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11333013312132 is an abundant number, since it is smaller than the sum of its proper divisors (17507822711868).

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

11333013312132 is a wasteful number, since it uses less digits than its factorization.

11333013312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668585 (or 2668580 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11333013312132 its reverse (23121331033311), we get a palindrome (34454344345443).

The spelling of 11333013312132 in words is "eleven trillion, three hundred thirty-three billion, thirteen million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 599 788 1182 1198 1773 1797 2364 2396 3546 3594 5391 7092 7188 10782 21564 118003 236006 354009 472012 708018 1062027 1416036 2124054 2667779 4248108 5335558 8003337 10671116 16006674 24010011 32013348 48020022 96040044 525552463 1051104926 1576657389 1597999621 2102209852 3153314778 3195999242 4729972167 4793998863 6306629556 6391998484 9459944334 9587997726 14381996589 18919888668 19175995452 28763993178 57527986356 314805925337 629611850674 944417776011 1259223701348 1888835552022 2833253328033 3777671104044 5666506656066 11333013312132