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111220000020 = 2234568654321
BaseRepresentation
bin110011110010100111…
…0101000010100010100
3101122002010001101210000
41213211032220110110
53310234310000040
6123032130331300
711015064254553
oct1474516502424
9348063041700
10111220000020
1143193877198
121967b429b30
13a6461a47cc
14555123bd9a
152d5e284130
hex19e53a8514

111220000020 has 60 divisors (see below), whose sum is σ = 348901264404. Its totient is φ = 29658666240.

The previous prime is 111219999991. The next prime is 111220000037. The reversal of 111220000020 is 20000022111.

It can be written as a sum of positive squares in 2 ways, for example, as 24225677316 + 86994322704 = 155646^2 + 294948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 111219999957 and 111220000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34325541 + ... + 34328780.

Almost surely, 2111220000020 is an apocalyptic number.

111220000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111220000020 is an abundant number, since it is smaller than the sum of its proper divisors (237681264384).

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

111220000020 is a wasteful number, since it uses less digits than its factorization.

111220000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68654342 (or 68654331 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 111220000020 its reverse (20000022111), we get a palindrome (131220022131).

The spelling of 111220000020 in words is "one hundred eleven billion, two hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 68654321 137308642 205962963 274617284 343271605 411925926 617888889 686543210 823851852 1029814815 1235777778 1373086420 1853666667 2059629630 2471555556 3089444445 3707333334 4119259260 5561000001 6178888890 7414666668 9268333335 11122000002 12357777780 18536666670 22244000004 27805000005 37073333340 55610000010 111220000020