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20011003213320 = 233357413158909
BaseRepresentation
bin1001000110011001011001…
…01111001111011000001000
32121212000220012221122202000
410203030230233033120020
510110330013310311240
6110320532235111000
74133514212550000
oct443145457173010
977760805848660
1020011003213320
1164156896a0069
1222b23245a2460
13b2204ca94b52
144d2775727000
1524a7ead5c430
hex12332cbcf608

20011003213320 has 640 divisors, whose sum is σ = 78411283632000. Its totient is φ = 4538950940160.

The previous prime is 20011003213319. The next prime is 20011003213321. The reversal of 20011003213320 is 2331230011002.

20011003213320 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 10 + 0 + 321 + 332 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20011003213319) and next prime (20011003213321).

It is a super-3 number, since 3×200110032133203 (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20011003213293 and 20011003213302.

It is not an unprimeable number, because it can be changed into a prime (20011003213321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 339664026 + ... + 339722934.

It is an arithmetic number, because the mean of its divisors is an integer number (122517630675).

Almost surely, 220011003213320 is an apocalyptic number.

20011003213320 is a gapful number since it is divisible by the number (20) 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 20011003213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39205641816000).

20011003213320 is an abundant number, since it is smaller than the sum of its proper divisors (58400280418680).

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

20011003213320 is a wasteful number, since it uses less digits than its factorization.

20011003213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59088 (or 59057 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20011003213320 its reverse (2331230011002), we get a palindrome (22342233224322).

The spelling of 20011003213320 in words is "twenty trillion, eleven billion, three million, two hundred thirteen thousand, three hundred twenty".