Search a number
-
+
21300023103120 = 2433529340038683
BaseRepresentation
bin1001101011111010011000…
…10011111000111010010000
32210102021002020021201102000
410311331030103320322100
510242434421403244440
6113145032344554000
74325606300045316
oct465751423707220
983367066251360
1021300023103120
11687231a829a13
122480106782900
13bb6778109b58
14538cd88dc0b6
1526e0e0d21730
hex135f4c4f8e90

21300023103120 has 160 divisors (see below), whose sum is σ = 75896634268800. Its totient is φ = 5484143863296.

The previous prime is 21300023103119. The next prime is 21300023103209. The reversal of 21300023103120 is 2130132000312.

21300023103120 is a `hidden beast` number, since 2 + 1 + 300 + 0 + 2 + 310 + 31 + 20 = 666.

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 = 21300023103093 and 21300023103102.

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, 169956702 + ... + 170081981.

It is an arithmetic number, because the mean of its divisors is an integer number (474353964180).

Almost surely, 221300023103120 is an apocalyptic number.

21300023103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300023103120 is an abundant number, since it is smaller than the sum of its proper divisors (54596611165680).

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

21300023103120 is a wasteful number, since it uses less digits than its factorization.

21300023103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340038734 (or 340038722 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21300023103120 its reverse (2130132000312), we get a palindrome (23430155103432).

The spelling of 21300023103120 in words is "twenty-one trillion, three hundred billion, twenty-three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2320 2610 3132 3480 3915 4176 5220 6264 6960 7830 10440 12528 15660 20880 31320 62640 340038683 680077366 1020116049 1360154732 1700193415 2040232098 2720309464 3060348147 3400386830 4080464196 5100580245 5440618928 6120696294 6800773660 8160928392 9181044441 9861121807 10201160490 12241392588 13601547320 15301740735 16321856784 18362088882 19722243614 20402320980 24482785176 27203094640 29583365421 30603481470 36724177764 39444487228 40804641960 45905222205 48965570352 49305609035 59166730842 61206962940 73448355528 78888974456 81609283920 88750096263 91810444410 98611218070 118333461684 122413925880 146896711056 147916827105 157777948912 177500192526 183620888820 197222436140 236666923368 244827851760 266250288789 295833654210 355000385052 367241777640 394444872280 443750481315 473333846736 532500577578 591667308420 710000770104 734483555280 788889744560 887500962630 1065001155156 1183334616840 1331251443945 1420001540208 1775001925260 2130002310312 2366669233680 2662502887890 3550003850520 4260004620624 5325005775780 7100007701040 10650011551560 21300023103120