Search a number
-
+
10205218818 = 23223180113687
BaseRepresentation
bin10011000000100011…
…10100100000000010
3222100012220211102100
421200101310200002
5131400014000233
64404353131230
7510615633354
oct114021644002
928305824370
1010205218818
114367641a43
121b89859b16
13c68381022
146cb5030d4
153eade8813
hex260474802

10205218818 has 48 divisors (see below), whose sum is σ = 23087166336. Its totient is φ = 3251793600.

The previous prime is 10205218811. The next prime is 10205218883. The reversal of 10205218818 is 81881250201.

It is a super-2 number, since 2×102052188182 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10205218811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738771 + ... + 752457.

It is an arithmetic number, because the mean of its divisors is an integer number (480982632).

Almost surely, 210205218818 is an apocalyptic number.

10205218818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10205218818 is an abundant number, since it is smaller than the sum of its proper divisors (12881947518).

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

10205218818 is a wasteful number, since it uses less digits than its factorization.

10205218818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15519 (or 15516 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 10205218818 in words is "ten billion, two hundred five million, two hundred eighteen thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 1801 3602 5403 10806 13687 16209 27374 32418 41061 41423 82122 82846 123183 124269 246366 248538 314801 372807 629602 745614 944403 1888806 2833209 5666418 24650287 49300574 73950861 147901722 221852583 443705166 566956601 1133913202 1700869803 3401739606 5102609409 10205218818