Search a number
-
+
10601243820 = 2233519631933
BaseRepresentation
bin10011101111110001…
…00010010010101100
31000100211002222121000
421313320202102230
5133202404300240
64511541240300
7523465041246
oct116770422254
930324088530
1010601243820
114550142432
12207a403090
13ccc43024b
14727d51096
15420a74430
hex277e224ac

10601243820 has 48 divisors (see below), whose sum is σ = 32981649120. Its totient is φ = 2826998208.

The previous prime is 10601243771. The next prime is 10601243833. The reversal of 10601243820 is 2834210601.

10601243820 is a `hidden beast` number, since 1 + 0 + 601 + 2 + 4 + 38 + 20 = 666.

10601243820 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 2×106012438202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9815427 + ... + 9816506.

It is an arithmetic number, because the mean of its divisors is an integer number (687117690).

Almost surely, 210601243820 is an apocalyptic number.

10601243820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10601243820 is an abundant number, since it is smaller than the sum of its proper divisors (22380405300).

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

10601243820 is a wasteful number, since it uses less digits than its factorization.

10601243820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19631951 (or 19631943 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10601243820 in words is "ten billion, six hundred one million, two hundred forty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 19631933 39263866 58895799 78527732 98159665 117791598 176687397 196319330 235583196 294478995 353374794 392638660 530062191 588957990 706749588 883436985 1060124382 1177915980 1766873970 2120248764 2650310955 3533747940 5300621910 10601243820