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135104029225 = 521124121632
BaseRepresentation
bin111110111010011010…
…0111110001000101001
3110220201122001210110021
41331310310332020221
54203143112413400
6142022124120441
712522001205014
oct1756464761051
9426648053407
10135104029225
115232a77a900
1222226096121
13c981457b79
1467792ca37b
1537aaeb871a
hex1f74d3e229

135104029225 has 81 divisors (see below), whose sum is σ = 189909333957. Its totient is φ = 95272848000.

The previous prime is 135104029219. The next prime is 135104029243. The reversal of 135104029225 is 522920401531.

The square root of 135104029225 is 367565.

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 56867463961 + 78236565264 = 238469^2 + 279708^2 .

It is not a de Polignac number, because 135104029225 - 231 = 132956545577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 828858994 + ... + 828859156.

Almost surely, 2135104029225 is an apocalyptic number.

135104029225 is the 367565-th square number.

135104029225 is the 183783-rd centered octagonal number.

It is an amenable number.

135104029225 is a deficient number, since it is larger than the sum of its proper divisors (54805304732).

135104029225 is an equidigital number, since it uses as much as digits as its factorization.

135104029225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 135104029225 in words is "one hundred thirty-five billion, one hundred four million, twenty-nine thousand, two hundred twenty-five".

Divisors: 1 5 11 25 41 55 121 163 205 275 451 605 815 1025 1681 1793 2255 3025 4075 4961 6683 8405 8965 11275 18491 19723 24805 26569 33415 42025 44825 73513 92455 98615 124025 132845 167075 203401 274003 292259 367565 462275 493075 664225 808643 1017005 1089329 1370015 1461295 1837825 3014033 3214849 4043215 5085025 5446645 6850075 7306475 11982619 15070165 16074245 20216075 27233225 33154363 44662489 59913095 75350825 80371225 131808809 165771815 223312445 299565475 491287379 659044045 828859075 1116562225 2456436895 3295220225 5404161169 12282184475 27020805845 135104029225