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2011012020 = 2232511172289
BaseRepresentation
bin111011111011101…
…1001101110110100
312012011001222212200
41313313121232310
513104304341040
6531314544500
7100556214543
oct16767315664
95164058780
102011012020
11942189106
12481598130
13260831754
1415112415a
15bb83a630
hex77dd9bb4

2011012020 has 36 divisors (see below), whose sum is σ = 6100070340. Its totient is φ = 536269824.

The previous prime is 2011012009. The next prime is 2011012021. The reversal of 2011012020 is 202101102.

It can be written as a sum of positive squares in 2 ways, for example, as 202891536 + 1808120484 = 14244^2 + 42522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2011011993 and 2011012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5585965 + ... + 5586324.

Almost surely, 22011012020 is an apocalyptic number.

2011012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011012020 is an abundant number, since it is smaller than the sum of its proper divisors (4089058320).

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

2011012020 is a wasteful number, since it uses less digits than its factorization.

2011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172304 (or 11172299 counting only the distinct ones).

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

The square root of 2011012020 is about 44844.3086689939. The cubic root of 2011012020 is about 1262.2291981348.

Adding to 2011012020 its reverse (202101102), we get a palindrome (2213113122).

The spelling of 2011012020 in words is "two billion, eleven million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11172289 22344578 33516867 44689156 55861445 67033734 100550601 111722890 134067468 167584335 201101202 223445780 335168670 402202404 502753005 670337340 1005506010 2011012020