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135053442030 = 235134718014091
BaseRepresentation
bin111110111000111001…
…1111111101111101110
3110220121002212200212110
41331301303333233232
54203042140121110
6142013115544450
712520515213333
oct1756163775756
9426532780773
10135053442030
1152304168a01
122221115b126
13c973b25410
1467726bc98a
1537a6824a20
hex1f71cffbee

135053442030 has 128 divisors (see below), whose sum is σ = 356773165056. Its totient is φ = 32510592000.

The previous prime is 135053442019. The next prime is 135053442061. The reversal of 135053442030 is 30244350531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33010285 + ... + 33014375.

It is an arithmetic number, because the mean of its divisors is an integer number (2787290352).

Almost surely, 2135053442030 is an apocalyptic number.

135053442030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135053442030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178386582528).

135053442030 is an abundant number, since it is smaller than the sum of its proper divisors (221719723026).

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

135053442030 is a wasteful number, since it uses less digits than its factorization.

135053442030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 135053442030 its reverse (30244350531), we get a palindrome (165297792561).

The spelling of 135053442030 in words is "one hundred thirty-five billion, fifty-three million, four hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 1222 1410 1801 1833 3055 3602 3666 4091 5403 6110 8182 9005 9165 10806 12273 18010 18330 20455 23413 24546 27015 40910 46826 53183 54030 61365 70239 84647 106366 117065 122730 140478 159549 169294 192277 234130 253941 265915 319098 351195 384554 423235 507882 531830 576831 702390 797745 846470 961385 1100411 1153662 1269705 1595490 1922770 2200822 2499601 2539410 2884155 3301233 4999202 5502055 5768310 6602466 7367891 7498803 11004110 12498005 14735782 14997606 16506165 22103673 24996010 33012330 36839455 37494015 44207346 73678910 74988030 95782583 110518365 191565166 221036730 287347749 346290877 478912915 574695498 692581754 957825830 1038872631 1436738745 1731454385 2077745262 2873477490 3462908770 4501781401 5194363155 9003562802 10388726310 13505344203 22508907005 27010688406 45017814010 67526721015 135053442030