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134100130032 = 243211471801259
BaseRepresentation
bin111110011100011111…
…1011001100011110000
3110211010200001102122200
41330320333121203300
54144114113130112
6141334343103200
712455061204141
oct1747077314360
9424120042580
10134100130032
1151965033550
1221ba5a41b00
13c851483c8b
1466c1c45ac8
15374ccb6cdc
hex1f38fd98f0

134100130032 has 120 divisors (see below), whose sum is σ = 418122881280. Its totient is φ = 39771776640.

The previous prime is 134100130019. The next prime is 134100130037. The reversal of 134100130032 is 230031001431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134100129987 and 134100130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134100130037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826182 + ... + 975077.

It is an arithmetic number, because the mean of its divisors is an integer number (3484357344).

Almost surely, 2134100130032 is an apocalyptic number.

134100130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134100130032 is an abundant number, since it is smaller than the sum of its proper divisors (284022751248).

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

134100130032 is a wasteful number, since it uses less digits than its factorization.

134100130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801331 (or 1801322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 134100130032 its reverse (230031001431), we get a palindrome (364131131463).

The spelling of 134100130032 in words is "one hundred thirty-four billion, one hundred million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 2068 2256 3102 3384 4136 4653 6204 6768 8272 9306 12408 18612 24816 37224 74448 1801259 3602518 5403777 7205036 10807554 14410072 16211331 19813849 21615108 28820144 32422662 39627698 43230216 59441547 64845324 79255396 84659173 86460432 118883094 129690648 158510792 169318346 178324641 237766188 253977519 259381296 317021584 338636692 356649282 475532376 507955038 677273384 713298564 761932557 931250903 951064752 1015910076 1354546768 1426597128 1523865114 1862501806 2031820152 2793752709 2853194256 3047730228 3725003612 4063640304 5587505418 6095460456 7450007224 8381258127 11175010836 12190920912 14900014448 16762516254 22350021672 33525032508 44700043344 67050065016 134100130032