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21030311203100 = 225211313977317321
BaseRepresentation
bin1001100100000100000000…
…01110101001000100011100
32202110110220112202120220122
410302002000032221010130
510224030034131444400
6112421105214534112
74300250500526303
oct462020016510434
982413815676818
1021030311203100
1167789a5462501
122437994807338
13b971c42657c4
14529c3019b43a
152670a76e9685
hex1320803a911c

21030311203100 has 144 divisors (see below), whose sum is σ = 46433520876960. Its totient is φ = 8266511769600.

The previous prime is 21030311203093. The next prime is 21030311203117. The reversal of 21030311203100 is 130211303012.

It is a super-3 number, since 3×210303112031003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214142440 + ... + 1214159760.

It is an arithmetic number, because the mean of its divisors is an integer number (322455006090).

Almost surely, 221030311203100 is an apocalyptic number.

21030311203100 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 21030311203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23216760438480).

21030311203100 is an abundant number, since it is smaller than the sum of its proper divisors (25403209673860).

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

21030311203100 is a wasteful number, since it uses less digits than its factorization.

21030311203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18360 (or 18353 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 21030311203100 its reverse (130211303012), we get a palindrome (21160522506112).

The spelling of 21030311203100 in words is "twenty-one trillion, thirty billion, three hundred eleven million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 139 226 278 452 556 565 695 773 1130 1390 1546 2260 2780 2825 3092 3475 3865 5650 6950 7730 11300 13900 15460 15707 17321 19325 31414 34642 38650 62828 69284 77300 78535 86605 87349 107447 157070 173210 174698 214894 314140 346420 349396 392675 429788 433025 436745 537235 785350 866050 873490 1074470 1570700 1732100 1746980 1957273 2148940 2183725 2407619 2686175 3914546 4367450 4815238 5372350 7829092 8734900 9630476 9786365 10744700 12038095 12141511 13389133 19572730 24076190 24283022 26778266 39145460 48152380 48566044 48931825 53556532 60190475 60707555 66945665 97863650 120380950 121415110 133891330 195727300 240761900 242830220 267782660 272060947 303537775 334728325 544121894 607075550 669456650 1088243788 1214151100 1338913300 1360304735 1512972029 1861089487 2720609470 3025944058 3722178974 5441218940 6051888116 6801523675 7444357948 7564860145 9305447435 13603047350 15129720290 18610894870 27206094700 30259440580 37221789740 37824300725 46527237175 75648601450 93054474350 151297202900 186108948700 210303112031 420606224062 841212448124 1051515560155 2103031120310 4206062240620 5257577800775 10515155601550 21030311203100