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20201010201120 = 2535730748740213
BaseRepresentation
bin1001001011111011010100…
…00010011000001000100000
32122112012100010121201120110
410211331222002120020200
510121433132102413440
6110544114352211320
74153321602364440
oct445755202301040
978465303551513
1020201010201120
11648922268a2a1
122323111539b40
13b36c409a2348
144dba3c584120
1525071bd54080
hex125f6a098220

20201010201120 has 384 divisors, whose sum is σ = 73112155877376. Its totient is φ = 4592768864256.

The previous prime is 20201010201107. The next prime is 20201010201133. The reversal of 20201010201120 is 2110201010202.

It is an interprime number because it is at equal distance from previous prime (20201010201107) and next prime (20201010201133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20201010201096 and 20201010201105.

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 63 ways as a sum of consecutive naturals, for example, 502330134 + ... + 502370346.

It is an arithmetic number, because the mean of its divisors is an integer number (190396239264).

Almost surely, 220201010201120 is an apocalyptic number.

20201010201120 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 20201010201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36556077938688).

20201010201120 is an abundant number, since it is smaller than the sum of its proper divisors (52911145676256).

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

20201010201120 is a wasteful number, since it uses less digits than its factorization.

20201010201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41032 (or 41024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20201010201120 its reverse (2110201010202), we get a palindrome (22311211211322).

The spelling of 20201010201120 in words is "twenty trillion, two hundred one billion, ten million, two hundred one thousand, one hundred twenty".