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11012116931424 = 25327139343311447
BaseRepresentation
bin1010000000111111010101…
…0100010110001101100000
31102222202012100210120102100
42200033311110112031200
52420410303413301144
635230521403250400
72214412344331110
oct240176524261540
942882170716370
1011012116931424
113566237a16924
12129a27b819a00
1361b590879b6b
142a0dbc911040
151416b5326269
hexa03f5516360

11012116931424 has 288 divisors, whose sum is σ = 36060507624960. Its totient is φ = 3122501031936.

The previous prime is 11012116931393. The next prime is 11012116931471. The reversal of 11012116931424 is 42413961121011.

11012116931424 is a `hidden beast` number, since 1 + 10 + 1 + 211 + 6 + 9 + 3 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×110121169314242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 962003269 + ... + 962014715.

It is an arithmetic number, because the mean of its divisors is an integer number (125210095920).

Almost surely, 211012116931424 is an apocalyptic number.

11012116931424 is a gapful number since it is divisible by the number (14) 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 11012116931424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030253812480).

11012116931424 is an abundant number, since it is smaller than the sum of its proper divisors (25048390693536).

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

11012116931424 is a wasteful number, since it uses less digits than its factorization.

11012116931424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15031 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11012116931424 in words is "eleven trillion, twelve billion, one hundred sixteen million, nine hundred thirty-one thousand, four hundred twenty-four".