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20213000131120 = 245839301147201
BaseRepresentation
bin1001001100010001101001…
…01100010101001000110000
32122120100021201210021110221
410212020310230111020300
510122132211013143440
6110553420222102424
74154224662200536
oct446106454251060
978510251707427
1020213000131120
116493315693155
1223254b8a1aa14
13b38101a1c494
144dc458b00156
15250bbe785d4a
hex126234b15230

20213000131120 has 40 divisors (see below), whose sum is σ = 47051238840480. Its totient is φ = 8075563315200.

The previous prime is 20213000131091. The next prime is 20213000131123. The reversal of 20213000131120 is 2113100031202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20213000131094 and 20213000131103.

It is not an unprimeable number, because it can be changed into a prime (20213000131123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 150506481 + ... + 150640720.

It is an arithmetic number, because the mean of its divisors is an integer number (1176280971012).

Almost surely, 220213000131120 is an apocalyptic number.

20213000131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213000131120 is an abundant number, since it is smaller than the sum of its proper divisors (26838238709360).

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

20213000131120 is a wasteful number, since it uses less digits than its factorization.

20213000131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301148053 (or 301148047 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20213000131120 its reverse (2113100031202), we get a palindrome (22326100162322).

The spelling of 20213000131120 in words is "twenty trillion, two hundred thirteen billion, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 839 1678 3356 4195 6712 8390 13424 16780 33560 67120 301147201 602294402 1204588804 1505736005 2409177608 3011472010 4818355216 6022944020 12045888040 24091776080 252662501639 505325003278 1010650006556 1263312508195 2021300013112 2526625016390 4042600026224 5053250032780 10106500065560 20213000131120