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134110034120 = 23571101467543
BaseRepresentation
bin111110011100110010…
…1001011100011001000
3110211011100200121111202
41330321211023203020
54144124132042440
6141335335243332
712455241324056
oct1747145134310
9424140617452
10134110034120
115196a688647
1221ba9219548
13c853540c9a
1466c32a31d6
15374dac1615
hex1f3994b8c8

134110034120 has 64 divisors (see below), whose sum is σ = 309027882240. Its totient is φ = 52364704000.

The previous prime is 134110034119. The next prime is 134110034161. The reversal of 134110034120 is 21430011431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 134110034092 and 134110034101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53069 + ... + 520611.

It is an arithmetic number, because the mean of its divisors is an integer number (4828560660).

Almost surely, 2134110034120 is an apocalyptic number.

134110034120 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 134110034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154513941120).

134110034120 is an abundant number, since it is smaller than the sum of its proper divisors (174917848120).

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

134110034120 is a wasteful number, since it uses less digits than its factorization.

134110034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467726 (or 467722 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 134110034120 its reverse (21430011431), we get a palindrome (155540045551).

The spelling of 134110034120 in words is "one hundred thirty-four billion, one hundred ten million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 101 142 202 284 355 404 505 568 710 808 1010 1420 2020 2840 4040 7171 14342 28684 35855 57368 71710 143420 286840 467543 935086 1870172 2337715 3740344 4675430 9350860 18701720 33195553 47221843 66391106 94443686 132782212 165977765 188887372 236109215 265564424 331955530 377774744 472218430 663911060 944436860 1327822120 1888873720 3352750853 6705501706 13411003412 16763754265 26822006824 33527508530 67055017060 134110034120