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20122781 = 7417229
BaseRepresentation
bin100110011000…
…0110010011101
31101212100021012
41030300302131
520122412111
61555145005
7333020000
oct114606235
941770235
1020122781
11103a45a8
1268a5165
134227293
14295b537
151b7748b
hex1330c9d

20122781 has 30 divisors (see below), whose sum is σ = 25797210. Its totient is φ = 15673728.

The previous prime is 20122763. The next prime is 20122787. The reversal of 20122781 is 18722102.

It can be written as a sum of positive squares in 3 ways, for example, as 8357881 + 11764900 = 2891^2 + 3430^2 .

It is not a de Polignac number, because 20122781 - 214 = 20106397 is a prime.

It is a super-2 number, since 2×201227812 = 809852630347922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122787) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 693875 + ... + 693903.

It is an arithmetic number, because the mean of its divisors is an integer number (859907).

Almost surely, 220122781 is an apocalyptic number.

It is an amenable number.

20122781 is a deficient number, since it is larger than the sum of its proper divisors (5674429).

20122781 is an frugal number, since it uses more digits than its factorization.

20122781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 20122781 is about 4485.8422843430. The cubic root of 20122781 is about 271.9960936939.

Adding to 20122781 its reverse (18722102), we get a palindrome (38844883).

The spelling of 20122781 in words is "twenty million, one hundred twenty-two thousand, seven hundred eighty-one".

Divisors: 1 7 17 29 49 119 203 289 343 493 833 1421 2023 2401 3451 5831 8381 9947 14161 24157 40817 58667 69629 99127 169099 410669 693889 1183693 2874683 20122781