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122485300441 = 721741732
BaseRepresentation
bin111001000010010110…
…0010101110011011001
3102201011012200221202221
41302010230111303121
54001322214103231
6132134033024041
711564204606200
oct1620454256331
9381135627687
10122485300441
1147a44839129
121b8a40b5021
13b72006ab4a
145cdd44c237
1532bd27ad11
hex1c84b15cd9

122485300441 has 45 divisors (see below), whose sum is σ = 152268108411. Its totient is φ = 98240505216.

The previous prime is 122485300423. The next prime is 122485300453. The reversal of 122485300441 is 144003584221.

The square root of 122485300441 is 349979.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9720974025 + 112764326416 = 98595^2 + 335804^2 .

It is not a de Polignac number, because 122485300441 - 211 = 122485298393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122485300397 and 122485300406.

It is not an unprimeable number, because it can be changed into a prime (122485300411) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 708007431 + ... + 708007603.

Almost surely, 2122485300441 is an apocalyptic number.

122485300441 is the 349979-th square number.

122485300441 is the 174990-th centered octagonal number.

It is an amenable number.

122485300441 is a deficient number, since it is larger than the sum of its proper divisors (29782807970).

122485300441 is an frugal number, since it uses more digits than its factorization.

122485300441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 122485300441 its reverse (144003584221), we get a palindrome (266488884662).

The spelling of 122485300441 in words is "one hundred twenty-two billion, four hundred eighty-five million, three hundred thousand, four hundred forty-one".

Divisors: 1 7 17 49 119 173 289 833 1211 2023 2941 4913 8477 14161 20587 29929 34391 49997 83521 144109 209503 240737 349979 508793 584647 849949 1466521 2449853 3561551 4092529 5949643 8649481 14449133 24930857 41647501 60546367 101143931 147041177 423824569 708007517 1029288239 2499700009 7205017673 17497900063 122485300441