Search a number
-
+
21330423010100 = 22521771619285497
BaseRepresentation
bin1001101100110011000000…
…10010010101001100110100
32210112011112212002000000202
410312121200102111030310
510243434201242310400
6113211021104300032
74331033524020611
oct466314022251464
983464485060022
1021330423010100
1168841aa784a86
122485b8b611618
13bb95b12b00a9
1453a5800c5508
1526ecbeae14d5
hex136660495334

21330423010100 has 144 divisors (see below), whose sum is σ = 49780527592320. Its totient is φ = 7904356454400.

The previous prime is 21330423010097. The next prime is 21330423010133. The reversal of 21330423010100 is 101032403312.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 74570552 + ... + 74856048.

It is an arithmetic number, because the mean of its divisors is an integer number (345698108280).

Almost surely, 221330423010100 is an apocalyptic number.

21330423010100 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 21330423010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24890263796160).

21330423010100 is an abundant number, since it is smaller than the sum of its proper divisors (28450104582220).

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

21330423010100 is a wasteful number, since it uses less digits than its factorization.

21330423010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286218 (or 286211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21330423010100 its reverse (101032403312), we get a palindrome (21431455413412).

The spelling of 21330423010100 in words is "twenty-one trillion, three hundred thirty billion, four hundred twenty-three million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 100 142 170 284 340 355 425 619 710 850 1207 1238 1420 1700 1775 2414 2476 3095 3550 4828 6035 6190 7100 10523 12070 12380 15475 21046 24140 30175 30950 42092 43949 52615 60350 61900 87898 105230 120700 175796 210460 219745 263075 285497 439490 526150 570994 747133 878980 1052300 1098725 1141988 1427485 1494266 2197450 2854970 2988532 3735665 4394900 4853449 5709940 7137425 7471330 9706898 14274850 14942660 18678325 19413796 20270287 24267245 28549700 37356650 40540574 48534490 74713300 81081148 97068980 101351435 121336225 176722643 202702870 242672450 344594879 353445286 405405740 485344900 506757175 689189758 706890572 883613215 1013514350 1378379516 1722974395 1767226430 2027028700 3004284931 3445948790 3534452860 4418066075 6008569862 6891897580 8614871975 8836132150 12017139724 12547307653 15021424655 17229743950 17672264300 25094615306 30042849310 34459487900 50189230612 60085698620 62736538265 75107123275 125473076530 150214246550 213304230101 250946153060 300428493100 313682691325 426608460202 627365382650 853216920404 1066521150505 1254730765300 2133042301010 4266084602020 5332605752525 10665211505050 21330423010100