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103040240220 = 223257323773299
BaseRepresentation
bin101111111110110101…
…1010100101001011100
3100211222001101112210100
41133331223110221130
53142011300141340
6115200325541100
710305301406421
oct1377553245134
9324861345710
10103040240220
113a776590625
1217b77b74790
139941642c58
144db6b3dd48
152a310cb830
hex17fdad4a5c

103040240220 has 144 divisors (see below), whose sum is σ = 317066349600. Its totient is φ = 27081381888.

The previous prime is 103040240167. The next prime is 103040240243. The reversal of 103040240220 is 22042040301.

103040240220 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 402 + 40 + 220 = 666.

It is a super-2 number, since 2×1030402402202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103040240193 and 103040240202.

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 47 ways as a sum of consecutive naturals, for example, 31232131 + ... + 31235429.

It is an arithmetic number, because the mean of its divisors is an integer number (2201849650).

Almost surely, 2103040240220 is an apocalyptic number.

103040240220 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 103040240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158533174800).

103040240220 is an abundant number, since it is smaller than the sum of its proper divisors (214026109380).

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

103040240220 is a wasteful number, since it uses less digits than its factorization.

103040240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 103040240220 its reverse (22042040301), we get a palindrome (125082280521).

The spelling of 103040240220 in words is "one hundred three billion, forty million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2377 2628 3285 3299 4380 4754 6570 6598 7131 9508 9897 11885 13140 13196 14262 16495 19794 21393 23770 28524 29691 32990 35655 39588 42786 47540 49485 59382 65980 71310 85572 98970 106965 118764 142620 148455 173521 197940 213930 240827 296910 347042 427860 481654 520563 593820 694084 722481 867605 963308 1041126 1204135 1444962 1561689 1735210 2082252 2167443 2408270 2602815 2889924 3123378 3470420 3612405 4334886 4816540 5205630 6246756 7224810 7808445 7841723 8669772 10411260 10837215 14449620 15616890 15683446 21674430 23525169 31233780 31366892 39208615 43348860 47050338 70575507 78417230 94100676 117625845 141151014 156834460 235251690 282302028 352877535 470503380 572445779 705755070 1144891558 1411510140 1717337337 2289783116 2862228895 3434674674 5152012011 5724457790 6869349348 8586686685 10304024022 11448915580 17173373370 20608048044 25760060055 34346746740 51520120110 103040240220