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129132081305 = 5641385310457
BaseRepresentation
bin111100001000011011…
…1110011000010011001
3110100022102210101222222
41320100313303002121
54103430303100210
6135153352353425
712221004403103
oct1702067630231
9410272711888
10129132081305
114a845769a57
122103a0a5875
13c23c131586
146370100573
15355ba72655
hex1e10df3099

129132081305 has 16 divisors (see below), whose sum is σ = 155255368464. Its totient is φ = 103107870720.

The previous prime is 129132081293. The next prime is 129132081307. The reversal of 129132081305 is 503180231921.

It can be written as a sum of positive squares in 8 ways, for example, as 59101985881 + 70030095424 = 243109^2 + 264632^2 .

It is not a de Polignac number, because 129132081305 - 26 = 129132081241 is a prime.

It is a super-2 number, since 2×1291320813052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129132081307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12343637 + ... + 12354093.

It is an arithmetic number, because the mean of its divisors is an integer number (9703460529).

Almost surely, 2129132081305 is an apocalyptic number.

It is an amenable number.

129132081305 is a deficient number, since it is larger than the sum of its proper divisors (26123287159).

129132081305 is a wasteful number, since it uses less digits than its factorization.

129132081305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14956.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 129132081305 in words is "one hundred twenty-nine billion, one hundred thirty-two million, eighty-one thousand, three hundred five".

Divisors: 1 5 641 3205 3853 10457 19265 52285 2469773 6702937 12348865 33514685 40290821 201454105 25826416261 129132081305