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122531502025 = 52700092
BaseRepresentation
bin111001000011101110…
…0100101011111001001
3102201021102122020102201
41302013130211133021
54001421031031100
6132142403200201
711565305403532
oct1620734453711
9381242566381
10122531502025
1147a68925059
121b8b7676061
13b7297c636a
145d05637689
1532c235536a
hex1c877257c9

122531502025 has 9 divisors (see below), whose sum is σ = 151941232821. Its totient is φ = 98023801440.

The previous prime is 122531501993. The next prime is 122531502047. The reversal of 122531502025 is 520205135221.

The square root of 122531502025 is 350045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31807652409 + 90723849616 = 178347^2 + 301204^2 .

It is not a de Polignac number, because 122531502025 - 25 = 122531501993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122531501984 and 122531502002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1715221 + ... + 1785229.

Almost surely, 2122531502025 is an apocalyptic number.

122531502025 is the 350045-th square number.

122531502025 is the 175023-rd centered octagonal number.

It is an amenable number.

122531502025 is a deficient number, since it is larger than the sum of its proper divisors (29409730796).

122531502025 is an frugal number, since it uses more digits than its factorization.

122531502025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140028 (or 70014 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 122531502025 its reverse (520205135221), we get a palindrome (642736637246).

The spelling of 122531502025 in words is "one hundred twenty-two billion, five hundred thirty-one million, five hundred two thousand, twenty-five".

Divisors: 1 5 25 70009 350045 1750225 4901260081 24506300405 122531502025