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20053108881 = 3213236312
BaseRepresentation
bin10010101011010000…
…100010100010010001
31220202112110110221100
4102223100202202101
5312032043441011
613113503415013
71306635420201
oct225320424221
956675413840
1020053108881
118560503563
123a778b4469
131b776b1100
14d8338c401
157c575bd56
hex4ab422891

20053108881 has 27 divisors (see below), whose sum is σ = 31373759547. Its totient is φ = 12336976080.

The previous prime is 20053108879. The next prime is 20053108883. The reversal of 20053108881 is 18880135002.

The square root of 20053108881 is 141609.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (20053108879) and next prime (20053108883).

It can be written as a sum of positive squares in only one way, i.e., 2966436225 + 17086672656 = 54465^2 + 130716^2 .

It is not a de Polignac number, because 20053108881 - 21 = 20053108879 is a prime.

It is a super-2 number, since 2×200531088812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20053108883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5520936 + ... + 5524566.

Almost surely, 220053108881 is an apocalyptic number.

20053108881 is the 141609-th square number.

20053108881 is the 70805-th centered octagonal number.

It is an amenable number.

20053108881 is a deficient number, since it is larger than the sum of its proper divisors (11320650666).

20053108881 is an frugal number, since it uses more digits than its factorization.

20053108881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 20053108881 by its sum of digits (36), we get a square (721911919716 = 8496542).

The spelling of 20053108881 in words is "twenty billion, fifty-three million, one hundred eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 3631 10893 32679 47203 141609 424827 613639 1840917 5522751 13184161 39552483 118657449 171394093 514182279 1542546837 2228123209 6684369627 20053108881