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134110450120 = 23529379732213
BaseRepresentation
bin111110011100110011…
…0110001000111001000
3110211011101110202011011
41330321212301013020
54144124233400440
6141335352213304
712455245005643
oct1747146610710
9424141422134
10134110450120
115196a942149
1221ba939a234
13c85365843a
1466c3370a5a
15374db549ea
hex1f399b11c8

134110450120 has 128 divisors (see below), whose sum is σ = 323905327200. Its totient is φ = 49873453056.

The previous prime is 134110450063. The next prime is 134110450129. The reversal of 134110450120 is 21054011431.

It can be written as a sum of positive squares in 16 ways, for example, as 69035460516 + 65074989604 = 262746^2 + 255098^2 .

It is a super-2 number, since 2×1341104501202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134110450091 and 134110450100.

It is not an unprimeable number, because it can be changed into a prime (134110450129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4147134 + ... + 4179346.

Almost surely, 2134110450120 is an apocalyptic number.

134110450120 is a gapful number since it is divisible by the number (10) 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 134110450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161952663600).

134110450120 is an abundant number, since it is smaller than the sum of its proper divisors (189794877080).

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

134110450120 is a wasteful number, since it uses less digits than its factorization.

134110450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32387 (or 32383 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 134110450120 its reverse (21054011431), we get a palindrome (155164461551).

The spelling of 134110450120 in words is "one hundred thirty-four billion, one hundred ten million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 97 116 145 148 185 194 232 290 296 370 388 485 580 740 776 970 1073 1160 1480 1940 2146 2813 3589 3880 4292 5365 5626 7178 8584 10730 11252 14065 14356 17945 21460 22504 28130 28712 32213 35890 42920 56260 64426 71780 104081 112520 128852 143560 161065 208162 257704 322130 416324 520405 644260 832648 934177 1040810 1191881 1288520 1868354 2081620 2383762 3124661 3736708 4163240 4670885 4767524 5959405 6249322 7473416 9341770 9535048 11918810 12498644 15623305 18683540 23837620 24997288 31246610 34564549 37367080 47675240 62493220 69129098 90615169 115612457 124986440 138258196 172822745 181230338 231224914 276516392 345645490 362460676 453075845 462449828 578062285 691290980 724921352 906151690 924899656 1156124570 1382581960 1812303380 2312249140 3352761253 3624606760 4624498280 6705522506 13411045012 16763806265 26822090024 33527612530 67055225060 134110450120