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122503500025 = 52700012
BaseRepresentation
bin111001000010111000…
…1110001000011111001
3102201012110221120220121
41302011301301003321
54001341344000100
6132135523053241
711564515366204
oct1620561610371
9381173846817
10122503500025
1147a54039805
121b8aa211221
13b723a7092a
145d01a2893b
1532beb7351a
hex1c85c710f9

122503500025 has 9 divisors (see below), whose sum is σ = 151906510093. Its totient is φ = 98001400000.

The previous prime is 122503500023. The next prime is 122503500043. The reversal of 122503500025 is 520005305221.

It is a happy number.

The square root of 122503500025 is 350005.

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 8775380329 + 113728119696 = 93677^2 + 337236^2 .

It is not a de Polignac number, because 122503500025 - 21 = 122503500023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122503500023) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1715025 + ... + 1785025.

Almost surely, 2122503500025 is an apocalyptic number.

122503500025 is the 350005-th square number.

122503500025 is the 175003-rd centered octagonal number.

It is an amenable number.

122503500025 is a deficient number, since it is larger than the sum of its proper divisors (29403010068).

122503500025 is an frugal number, since it uses more digits than its factorization.

122503500025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140012 (or 70006 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Multiplying 122503500025 by its sum of digits (25), we get a square (3062587500625 = 17500252).

122503500025 divided by its sum of digits (25) gives a square (4900140001 = 700012).

Adding to 122503500025 its reverse (520005305221), we get a palindrome (642508805246).

The spelling of 122503500025 in words is "one hundred twenty-two billion, five hundred three million, five hundred thousand, twenty-five".

Divisors: 1 5 25 70001 350005 1750025 4900140001 24500700005 122503500025