Search a number
-
+
1330124020220 = 2251923373408011
BaseRepresentation
bin10011010110110001100…
…100011101100111111100
311201011021122000020100202
4103112301210131213330
5133243043222121340
62455014525543032
7165045466424252
oct23266144354774
94634248006322
101330124020220
11473114373476
12195953a14a78
1398579093288
14485422785d2
15248ed89ac15
hex135b191d9fc

1330124020220 has 96 divisors (see below), whose sum is σ = 3076345198080. Its totient is φ = 480838152960.

The previous prime is 1330124020219. The next prime is 1330124020241. The reversal of 1330124020220 is 220204210331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1330124020192 and 1330124020201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3056015 + ... + 3464025.

It is an arithmetic number, because the mean of its divisors is an integer number (32045262480).

Almost surely, 21330124020220 is an apocalyptic number.

1330124020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330124020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538172599040).

1330124020220 is an abundant number, since it is smaller than the sum of its proper divisors (1746221177860).

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

1330124020220 is a wasteful number, since it uses less digits than its factorization.

1330124020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408435 (or 408433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1330124020220 its reverse (220204210331), we get a palindrome (1550328230551).

The spelling of 1330124020220 in words is "one trillion, three hundred thirty billion, one hundred twenty-four million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 373 380 437 460 746 874 1492 1748 1865 2185 3730 4370 7087 7460 8579 8740 14174 17158 28348 34316 35435 42895 70870 85790 141740 163001 171580 326002 408011 652004 815005 816022 1630010 1632044 2040055 3260020 4080110 7752209 8160220 9384253 15504418 18768506 31008836 37537012 38761045 46921265 77522090 93842530 152188103 155044180 178300807 187685060 304376206 356601614 608752412 713203228 760940515 891504035 1521881030 1783008070 2891573957 3043762060 3500326369 3566016140 5783147914 7000652738 11566295828 14001305476 14457869785 17501631845 28915739570 35003263690 57831479140 66506201011 70006527380 133012402022 266024804044 332531005055 665062010110 1330124020220