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21041241320 = 23511312775569
BaseRepresentation
bin10011100110001001…
…111101110011101000
32000022101210210211002
4103212021331303220
5321043024210240
613355522454132
71343264412611
oct234611756350
960271723732
1021041241320
118a18261040
1240b2804348
131ca4324668
1410386cac08
15832396d15
hex4e627dce8

21041241320 has 128 divisors (see below), whose sum is σ = 53514777600. Its totient is φ = 7376486400.

The previous prime is 21041241293. The next prime is 21041241341. The reversal of 21041241320 is 2314214012.

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 = 21041241292 and 21041241301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775496 + ... + 3781064.

It is an arithmetic number, because the mean of its divisors is an integer number (418084200).

Almost surely, 221041241320 is an apocalyptic number.

21041241320 is a gapful number since it is divisible by the number (20) 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 21041241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26757388800).

21041241320 is an abundant number, since it is smaller than the sum of its proper divisors (32473536280).

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

21041241320 is a wasteful number, since it uses less digits than its factorization.

21041241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21041241320 its reverse (2314214012), we get a palindrome (23355455332).

The spelling of 21041241320 in words is "twenty-one billion, forty-one million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 277 310 341 440 554 620 682 1108 1240 1364 1385 1705 2216 2728 2770 3047 3410 5540 5569 6094 6820 8587 11080 11138 12188 13640 15235 17174 22276 24376 27845 30470 34348 42935 44552 55690 60940 61259 68696 85870 94457 111380 121880 122518 171740 172639 188914 222760 245036 306295 343480 345278 377828 472285 490072 612590 690556 755656 863195 944570 1225180 1381112 1542613 1726390 1889140 1899029 2450360 3085226 3452780 3778280 3798058 6170452 6905560 7596116 7713065 9495145 12340904 15192232 15426130 16968743 18990290 30852260 33937486 37980580 47821003 61704520 67874972 75961160 84843715 95642006 135749944 169687430 191284012 239105015 339374860 382568024 478210030 526031033 678749720 956420060 1052062066 1912840120 2104124132 2630155165 4208248264 5260310330 10520620660 21041241320