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111011001012 = 22337314080543
BaseRepresentation
bin110011101100011000…
…1010111001010110100
3101121112112210011001000
41213120301113022310
53304322304013022
6122555303003300
711006645640162
oct1473061271264
9347475704030
10111011001012
11430968a813a
1219621439530
13a611ab9462
145531596232
152d4ac4d6ac
hex19d8c572b4

111011001012 has 48 divisors (see below), whose sum is σ = 291748871680. Its totient is φ = 36496764864.

The previous prime is 111011001001. The next prime is 111011001019. The reversal of 111011001012 is 210100110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111011000985 and 111011001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111011001019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7032388 + ... + 7048155.

Almost surely, 2111011001012 is an apocalyptic number.

111011001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111011001012 is an abundant number, since it is smaller than the sum of its proper divisors (180737870668).

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

111011001012 is a wasteful number, since it uses less digits than its factorization.

111011001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14080629 (or 14080621 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111011001012 its reverse (210100110111), we get a palindrome (321111111123).

The spelling of 111011001012 in words is "one hundred eleven billion, eleven million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 14080543 28161086 42241629 56322172 84483258 126724887 168966516 253449774 380174661 506899548 760349322 1027879639 1520698644 2055759278 3083638917 4111518556 6167277834 9250916751 12334555668 18501833502 27752750253 37003667004 55505500506 111011001012