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11312011210320 = 2433529457395159
BaseRepresentation
bin1010010010011100100001…
…1010001110111001010000
31111001102021111210102002000
42210213020122032321100
52440313444332212240
640020355522354000
72245160116542612
oct244471032167120
944042244712060
1011312011210320
113671440474307
1213284157bb900
13640944810bb2
142b170b9b2db2
151493b85a0430
hexa49c868ee50

11312011210320 has 320 divisors, whose sum is σ = 40395468096000. Its totient is φ = 2906137350144.

The previous prime is 11312011210319. The next prime is 11312011210337. The reversal of 11312011210320 is 2301211021311.

11312011210320 is a `hidden beast` number, since 1 + 1 + 3 + 120 + 11 + 210 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11312011210293 and 11312011210302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28428901 + ... + 28824059.

It is an arithmetic number, because the mean of its divisors is an integer number (126235837800).

Almost surely, 211312011210320 is an apocalyptic number.

11312011210320 is a gapful number since it is divisible by the number (10) 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 11312011210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20197734048000).

11312011210320 is an abundant number, since it is smaller than the sum of its proper divisors (29083456885680).

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

11312011210320 is a wasteful number, since it uses less digits than its factorization.

11312011210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395667 (or 395655 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11312011210320 its reverse (2301211021311), we get a palindrome (13613222231631).

The spelling of 11312011210320 in words is "eleven trillion, three hundred twelve billion, eleven million, two hundred ten thousand, three hundred twenty".