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11331111210012 = 2236113167170081
BaseRepresentation
bin1010010011100011101011…
…0110111100110000011100
31111010020120121210221000000
42210320322312330300130
52441122103432210022
640033235101534300
72246434333060116
oct244707266746034
944106517727000
1011331111210012
113679551970820
121330066274390
136426998c1c69
142b260053c3b6
15149b352de6ac
hexa4e3adbcc1c

11331111210012 has 336 divisors, whose sum is σ = 33979477238784. Its totient is φ = 3273291648000.

The previous prime is 11331111209969. The next prime is 11331111210101. The reversal of 11331111210012 is 21001211113311.

11331111210012 is a `hidden beast` number, since 1 + 1 + 331 + 111 + 210 + 0 + 12 = 666.

It is a super-2 number, since 2×113311112100122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66536812 + ... + 66706892.

It is an arithmetic number, because the mean of its divisors is an integer number (101129396544).

Almost surely, 211331111210012 is an apocalyptic number.

11331111210012 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 11331111210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16989738619392).

11331111210012 is an abundant number, since it is smaller than the sum of its proper divisors (22648366028772).

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

11331111210012 is a wasteful number, since it uses less digits than its factorization.

11331111210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170212 (or 170195 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11331111210012 its reverse (21001211113311), we get a palindrome (32332322323323).

The spelling of 11331111210012 in words is "eleven trillion, three hundred thirty-one billion, one hundred eleven million, two hundred ten thousand, twelve".