Search a number
-
+
1055105060010 = 235174744017733
BaseRepresentation
bin11110101101010010010…
…10011000110010101010
310201212102002022111220120
433112221022120302222
5114241323343410020
62124413015104110
7136141326014451
oct17265112306252
93655362274816
101055105060010
11377516333101
121505a0672036
137865a88cb21
14390d2b85b98
151c6a43b6740
hexf5a9298caa

1055105060010 has 64 divisors (see below), whose sum is σ = 2738255196672. Its totient is φ = 259176406016.

The previous prime is 1055105059991. The next prime is 1055105060017. The reversal of 1055105060010 is 100605015501.

1055105060010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10551050600102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055105060017) 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, 21984897 + ... + 22032836.

It is an arithmetic number, because the mean of its divisors is an integer number (42785237448).

Almost surely, 21055105060010 is an apocalyptic number.

1055105060010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1055105060010 is an abundant number, since it is smaller than the sum of its proper divisors (1683150136662).

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

1055105060010 is a wasteful number, since it uses less digits than its factorization.

1055105060010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44017807.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1055105060010 in words is "one trillion, fifty-five billion, one hundred five million, sixty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 510 705 799 1410 1598 2397 3995 4794 7990 11985 23970 44017733 88035466 132053199 220088665 264106398 440177330 660265995 748301461 1320531990 1496602922 2068833451 2244904383 3741507305 4137666902 4489808766 6206500353 7483014610 10344167255 11224521915 12413000706 20688334510 22449043830 31032501765 35170168667 62065003530 70340337334 105510506001 175850843335 211021012002 351701686670 527552530005 1055105060010