Search a number
-
+
105235400551204 = 227111439565142017
BaseRepresentation
bin10111111011011000000110…
…101010101110101100100100
3111210121101222000002200002101
4113323120012222232230210
5102243134100020114304
61011452250422021444
731111002220443460
oct2773300652565444
9453541860080071
10105235400551204
11305930a0147a20
12b9773aa877884
13469486a7254a1
141bdb5c60514a0
15c276332678a4
hex5fb606aaeb24

105235400551204 has 96 divisors (see below), whose sum is σ = 229810197012480. Its totient is φ = 40964087424000.

The previous prime is 105235400551201. The next prime is 105235400551319. The reversal of 105235400551204 is 402155004532501.

It is a super-2 number, since 2×1052354005512042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105235400551201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2504570004 + ... + 2504612020.

It is an arithmetic number, because the mean of its divisors is an integer number (2393856218880).

Almost surely, 2105235400551204 is an apocalyptic number.

105235400551204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105235400551204 is an abundant number, since it is smaller than the sum of its proper divisors (124574796461276).

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

105235400551204 is a wasteful number, since it uses less digits than its factorization.

105235400551204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49129 (or 49127 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 105235400551204 in words is "one hundred five trillion, two hundred thirty-five billion, four hundred million, five hundred fifty-one thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 1439 2878 5651 5756 10073 11302 15829 20146 22604 31658 39557 40292 42017 62161 63316 79114 84034 110803 124322 158228 168068 221606 248644 294119 435127 443212 462187 588238 870254 924374 1176476 1740508 1848748 3235309 6470618 8131789 12941236 16263578 32527156 56922523 60462463 89449679 113845046 120924926 178899358 227690092 237438067 241849852 357798716 423237241 474876134 626147753 665087093 846474482 949752268 1252295506 1330174186 1662066469 1692948964 2504591012 2611818737 2660348372 3324132938 4655609651 5223637474 6648265876 9311219302 10447274948 18282731159 18622438604 36565462318 73130924636 341673378413 683346756826 1366693513652 2391713648891 3758407162543 4783427297782 7516814325086 9566854595564 15033628650172 26308850137801 52617700275602 105235400551204