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220110002102100 = 2235211409271629731
BaseRepresentation
bin110010000011000001011010…
…011111001001111101010100
31001212100022101111110100010210
4302003001122133021331110
5212322240241014231400
62100045050010245420
764235265020643435
oct6203013237117524
91055308344410123
10220110002102100
1164152144a26870
122082a962426870
1395a8390327556
143c4d54945148c
151a6a8762d5950
hexc8305a7c9f54

220110002102100 has 144 divisors (see below), whose sum is σ = 694764608219136. Its totient is φ = 53358663984000.

The previous prime is 220110002102093. The next prime is 220110002102101. The reversal of 220110002102100 is 1201200011022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220110002102101) by changing a digit.

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, 134244235 + ... + 135873965.

It is an arithmetic number, because the mean of its divisors is an integer number (4824754223744).

Almost surely, 2220110002102100 is an apocalyptic number.

220110002102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220110002102100 is an abundant number, since it is smaller than the sum of its proper divisors (474654606117036).

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

220110002102100 is a wasteful number, since it uses less digits than its factorization.

220110002102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670686 (or 1670679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220110002102100 its reverse (1201200011022), we get a palindrome (221311202113122).

The spelling of 220110002102100 in words is "two hundred twenty trillion, one hundred ten billion, two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 40927 81854 122781 163708 204635 245562 409270 450197 491124 613905 818540 900394 1023175 1227810 1350591 1629731 1800788 2046350 2250985 2455620 2701182 3069525 3259462 4092700 4501970 4889193 5402364 6139050 6518924 6752955 8148655 9003940 9778386 11254925 12278100 13505910 16297310 17927041 19556772 22509850 24445965 27011820 32594620 33764775 35854082 40743275 45019700 48891930 53781123 67529550 71708164 81486550 89635205 97783860 107562246 122229825 135059100 162973100 179270410 215124492 244459650 268905615 358540820 448176025 488919300 537811230 896352050 1075622460 1344528075 1792704100 2689056150 5378112300 66700000637 133400001274 200100001911 266800002548 333500003185 400200003822 667000006370 733700007007 800400007644 1000500009555 1334000012740 1467400014014 1667500015925 2001000019110 2201100021021 2934800028028 3335000031850 3668500035035 4002000038220 4402200042042 5002500047775 6670000063700 7337000070070 8804400084084 10005000095550 11005500105105 14674000140140 18342500175175 20010000191100 22011000210210 36685000350350 44022000420420 55027500525525 73370000700700 110055001051050 220110002102100