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53105232266130 = 235115931558117417
BaseRepresentation
bin11000001001100100001101…
…00000010100001110010010
320222000210212221111112122010
430010302012200110032102
523430034003430004010
6304540112405323350
714120504106243012
oct1404620640241622
9228023787445563
1053105232266130
1115a14891188950
125b58196a06556
132382a56a64a75
14d18442403c42
156215c7b24620
hex304c86814392

53105232266130 has 128 divisors (see below), whose sum is σ = 139290556559616. Its totient is φ = 12850723020800.

The previous prime is 53105232266081. The next prime is 53105232266131. The reversal of 53105232266130 is 3166223250135.

It is a super-2 number, since 2×531052322661302 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53105232266131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3049037182 + ... + 3049054598.

It is an arithmetic number, because the mean of its divisors is an integer number (1088207473122).

Almost surely, 253105232266130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53105232266130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69645278279808).

53105232266130 is an abundant number, since it is smaller than the sum of its proper divisors (86185324293486).

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

53105232266130 is a wasteful number, since it uses less digits than its factorization.

53105232266130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33612.

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 53105232266130 in words is "fifty-three trillion, one hundred five billion, two hundred thirty-two million, two hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 593 1186 1779 2965 3558 5930 6523 8895 13046 15581 17417 17790 19569 31162 32615 34834 39138 46743 52251 65230 77905 87085 93486 97845 104502 155810 171391 174170 191587 195690 233715 261255 342782 383174 467430 514173 522510 574761 856955 957935 1028346 1149522 1713910 1915870 2570865 2873805 5141730 5747610 9239533 10328281 18479066 20656562 27718599 30984843 46197665 51641405 55437198 61969686 92395330 101634863 103282810 113611091 138592995 154924215 203269726 227222182 271374277 277185990 304904589 309848430 340833273 508174315 542748554 568055455 609809178 681666546 814122831 1016348630 1136110910 1356871385 1524522945 1628245662 1704166365 2713742770 2985117047 3049045890 3408332730 4070614155 5970234094 8141228310 8955351141 14925585235 17910702282 29851170470 44776755705 89553511410 160924946261 321849892522 482774838783 804624731305 965549677566 1609249462610 1770174408871 2413874193915 3540348817742 4827748387830 5310523226613 8850872044355 10621046453226 17701744088710 26552616133065 53105232266130