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134021153421100 = 2252111944571438747
BaseRepresentation
bin11110011110010000111011…
…001111011111011100101100
3122120112022000121121010020201
4132132100323033133130230
5120031300310233433400
61153012245023123244
740141465055631331
oct3636207317373454
9576468017533221
10134021153421100
11397810632001a0
1213046245143524
1359a21a99c182a
142514930a6a988
1510762e76a906a
hex79e43b3df72c

134021153421100 has 144 divisors (see below), whose sum is σ = 334037921454720. Its totient is φ = 46159575667200.

The previous prime is 134021153421097. The next prime is 134021153421137. The reversal of 134021153421100 is 1124351120431.

134021153421100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92431927 + ... + 93870673.

It is an arithmetic number, because the mean of its divisors is an integer number (2319707787880).

Almost surely, 2134021153421100 is an apocalyptic number.

134021153421100 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 134021153421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167018960727360).

134021153421100 is an abundant number, since it is smaller than the sum of its proper divisors (200016768033620).

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

134021153421100 is a wasteful number, since it uses less digits than its factorization.

134021153421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443248 (or 1443241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 134021153421100 in words is "one hundred thirty-four trillion, twenty-one billion, one hundred fifty-three million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 4457 5225 8914 10450 17828 20900 22285 44570 49027 84683 89140 98054 111425 169366 196108 222850 245135 338732 423415 445700 490270 846830 931513 980540 1225675 1438747 1693660 1863026 2117075 2451350 2877494 3726052 4234150 4657565 4902700 5754988 7193735 8468300 9315130 14387470 15826217 18630260 23287825 27336193 28774940 31652434 35968675 46575650 54672386 63304868 71937350 79131085 93151300 109344772 136680965 143874700 158262170 273361930 300698123 316524340 395655425 546723860 601396246 683404825 791310850 1202792492 1366809650 1503490615 1582621700 2733619300 3006981230 6013962460 6412495379 7517453075 12824990758 15034906150 25649981516 30069812300 32062476895 64124953790 70537449169 121837412201 128249907580 141074898338 160312384475 243674824402 282149796676 320624768950 352687245845 487349648804 609187061005 641249537900 705374491690 1218374122010 1340211534211 1410748983380 1763436229225 2436748244020 2680423068422 3045935305025 3526872458450 5360846136844 6091870610050 6701057671055 7053744916900 12183741220100 13402115342110 26804230684220 33505288355275 67010576710550 134021153421100