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11324400312312 = 23324722211506733
BaseRepresentation
bin1010010011001010101011…
…0110111001111111111000
31111002121020221002000000100
42210302222312321333320
52441014332434443222
640030205132035400
72246106124301523
oct244625266717770
944077227060010
1011324400312312
113676718827a7a
12132a8b2902b60
13641b6a46c789
142b2165159bba
151498910804ac
hexa4caadb9ff8

11324400312312 has 96 divisors (see below), whose sum is σ = 31336933193280. Its totient is φ = 3692819324160.

The previous prime is 11324400312301. The next prime is 11324400312361. The reversal of 11324400312312 is 21321300442311.

11324400312312 is a `hidden beast` number, since 1 + 1 + 3 + 24 + 400 + 3 + 1 + 231 + 2 = 666.

It is a congruent number.

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, 6762498 + ... + 8269230.

It is an arithmetic number, because the mean of its divisors is an integer number (326426387430).

Almost surely, 211324400312312 is an apocalyptic number.

11324400312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324400312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668466596640).

11324400312312 is an abundant number, since it is smaller than the sum of its proper divisors (20012532880968).

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

11324400312312 is a wasteful number, since it uses less digits than its factorization.

11324400312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509013 (or 1509006 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11324400312312 its reverse (21321300442311), we get a palindrome (32645700754623).

The spelling of 11324400312312 in words is "eleven trillion, three hundred twenty-four billion, four hundred million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 2221 3384 4442 6663 8884 13326 17768 19989 26652 39978 53304 79956 104387 159912 208774 313161 417548 626322 835096 939483 1252644 1506733 1878966 2505288 3013466 3757932 4520199 6026932 7515864 9040398 12053864 13560597 18080796 27121194 36161592 54242388 70816451 108484776 141632902 212449353 283265804 424898706 566531608 637348059 849797412 1274696118 1699594824 2549392236 3346453993 5098784472 6692907986 10039361979 13385815972 20078723958 26771631944 30118085937 40157447916 60236171874 80314895832 120472343748 157283337671 240944687496 314566675342 471850013013 629133350684 943700026026 1258266701368 1415550039039 1887400052052 2831100078078 3774800104104 5662200156156 11324400312312