Search a number
-
+
105453367514220 = 223511179892613573
BaseRepresentation
bin10111111110100011000110…
…100000101101010001101100
3111211101020120111101122101110
4113332203012200231101230
5102310221444040423340
61012140335214312020
731132516516165035
oct2776430640552154
9454336514348343
10105453367514220
1130667581886390
12b9b169b4b8610
1346ac29617880b
141c07d823dda8c
15c2d13dc1b680
hex5fe8c682d46c

105453367514220 has 96 divisors (see below), whose sum is σ = 323911613733120. Its totient is φ = 25421634530560.

The previous prime is 105453367514179. The next prime is 105453367514233. The reversal of 105453367514220 is 22415763354501.

105453367514220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054533675142202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105453367514220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446188647 + ... + 446424926.

It is an arithmetic number, because the mean of its divisors is an integer number (3374079309720).

Almost surely, 2105453367514220 is an apocalyptic number.

105453367514220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105453367514220 is an abundant number, since it is smaller than the sum of its proper divisors (218458246218900).

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

105453367514220 is a wasteful number, since it uses less digits than its factorization.

105453367514220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892613775 (or 892613773 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 105453367514220 in words is "one hundred five trillion, four hundred fifty-three billion, three hundred sixty-seven million, five hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 179 220 330 358 537 660 716 895 1074 1790 1969 2148 2685 3580 3938 5370 5907 7876 9845 10740 11814 19690 23628 29535 39380 59070 118140 892613573 1785227146 2677840719 3570454292 4463067865 5355681438 8926135730 9818749303 10711362876 13389203595 17852271460 19637498606 26778407190 29456247909 39274997212 49093746515 53556814380 58912495818 98187493030 117824991636 147281239545 159777829567 196374986060 294562479090 319555659134 479333488701 589124958180 639111318268 798889147835 958666977402 1597778295670 1757556125237 1917333954804 2396667443505 3195556591340 3515112250474 4793334887010 5272668375711 7030224500948 8787780626185 9586669774020 10545336751422 17575561252370 21090673502844 26363341878555 35151122504740 52726683757110 105453367514220