Search a number
-
+
12602613246201 = 3311217226914659
BaseRepresentation
bin1011011101100100011001…
…0010010010100011111001
31122121210112210012211011000
42313121012102102203321
53122440122442334301
642445321031155213
72440336335051066
oct267310622224371
948553483184130
1012602613246201
11401981369aa00
1214b6579815b09
1370556287a304
14317d80d51c6d
1516cc523d8786
hexb76464928f9

12602613246201 has 48 divisors (see below), whose sum is σ = 21729347841600. Its totient is φ = 7188656365440.

The previous prime is 12602613246193. The next prime is 12602613246227. The reversal of 12602613246201 is 10264231620621.

12602613246201 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 2 + 6 + 1 + 3 + 24 + 620 + 1 = 666.

12602613246201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12602613246201 - 23 = 12602613246193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12602613246281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113401791 + ... + 113512868.

It is an arithmetic number, because the mean of its divisors is an integer number (452694746700).

Almost surely, 212602613246201 is an apocalyptic number.

12602613246201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12602613246201 is a deficient number, since it is larger than the sum of its proper divisors (9126734595399).

12602613246201 is a wasteful number, since it uses less digits than its factorization.

12602613246201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226914707 (or 226914690 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 12602613246201 its reverse (10264231620621), we get a palindrome (22866844866822).

The spelling of 12602613246201 in words is "twelve trillion, six hundred two billion, six hundred thirteen million, two hundred forty-six thousand, two hundred one".

Divisors: 1 3 9 11 17 27 33 51 99 121 153 187 297 363 459 561 1089 1683 2057 3267 5049 6171 18513 55539 226914659 680743977 2042231931 2496061249 3857549203 6126695793 7488183747 11572647609 22464551241 27456673739 34717942827 42433041233 67393653723 82370021217 104153828481 127299123699 247110063651 381897371097 466763453563 741330190953 1145692113291 1400290360689 4200871082067 12602613246201