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135122205132 = 22342330759063
BaseRepresentation
bin111110111010111101…
…0010011100111001100
3110220202220021020010000
41331311322103213030
54203212241031012
6142024013444300
712522311536005
oct1756572234714
9426686236100
10135122205132
1152339a64712
12222301a0690
13c98514cc45
14677b89c1ac
1537ac8a8ddc
hex1f75e939cc

135122205132 has 120 divisors (see below), whose sum is σ = 369801121536. Its totient is φ = 42941381472.

The previous prime is 135122205131. The next prime is 135122205139. The reversal of 135122205132 is 231502221531.

135122205132 is a `hidden beast` number, since 1 + 3 + 5 + 122 + 20 + 513 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135122205096 and 135122205105.

It is not an unprimeable number, because it can be changed into a prime (135122205131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2258233 + ... + 2317295.

Almost surely, 2135122205132 is an apocalyptic number.

135122205132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135122205132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184900560768).

135122205132 is an abundant number, since it is smaller than the sum of its proper divisors (234678916404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135122205132 is a wasteful number, since it uses less digits than its factorization.

135122205132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59409 (or 59398 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 135122205132 its reverse (231502221531), we get a palindrome (366624426663).

The spelling of 135122205132 in words is "one hundred thirty-five billion, one hundred twenty-two million, two hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 307 324 414 614 621 828 921 1228 1242 1842 1863 2484 2763 3684 3726 5526 7061 7452 8289 11052 14122 16578 21183 24867 28244 33156 42366 49734 59063 63549 84732 99468 118126 127098 177189 190647 236252 254196 354378 381294 531567 571941 708756 762588 1063134 1143882 1358449 1594701 2126268 2287764 2716898 3189402 4075347 4784103 5433796 6378804 8150694 9568206 12226041 16301388 18132341 19136412 24452082 36264682 36678123 48904164 54397023 72529364 73356246 108794046 110034369 146712492 163191069 217588092 220068738 326382138 417043843 440137476 489573207 652764276 834087686 979146414 1251131529 1468719621 1668175372 1958292828 2502263058 2937439242 3753394587 5004526116 5874878484 7506789174 11260183761 15013578348 22520367522 33780551283 45040735044 67561102566 135122205132