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129143203225 = 5241217532
BaseRepresentation
bin111100001000110001…
…0001110010110011001
3110100100012201110101221
41320101202032112121
54103441130000400
6135154431012041
712221201054401
oct1702142162631
9410305643357
10129143203225
114a850a76023
122104196a021
13c2415269aa
146371797801
15355ca1cc1a
hex1e1188e599

129143203225 has 27 divisors (see below), whose sum is σ = 164232316119. Its totient is φ = 100737196800.

The previous prime is 129143203223. The next prime is 129143203229. The reversal of 129143203225 is 522302341921.

The square root of 129143203225 is 359365.

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

It can be written as a sum of positive squares in 13 ways, for example, as 95359292809 + 33783910416 = 308803^2 + 183804^2 .

It is not a de Polignac number, because 129143203225 - 21 = 129143203223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129143203223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73668949 + ... + 73670701.

Almost surely, 2129143203225 is an apocalyptic number.

129143203225 is the 359365-th square number.

129143203225 is the 179683-rd centered octagonal number.

It is an amenable number.

129143203225 is a deficient number, since it is larger than the sum of its proper divisors (35089112894).

129143203225 is an frugal number, since it uses more digits than its factorization.

129143203225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 129143203225 in words is "one hundred twenty-nine billion, one hundred forty-three million, two hundred three thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 1753 8405 8765 42025 43825 71873 359365 1796825 2946793 3073009 14733965 15365045 73669825 76825225 125993369 629966845 3149834225 5165728129 25828640645 129143203225