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200220222120100 = 225271323956618357
BaseRepresentation
bin101101100001100101100111…
…001101110110000010100100
3222020220212101112101212210221
4231201211213031312002210
5202220402003330320400
61545455522241454124
760113301516412060
oct5541454715660244
9866825345355727
10200220222120100
1158883a127246a6
121a55802b341344
1387948bbcb63a0
1437629d36caaa0
1518232c2a07c1a
hexb619673760a4

200220222120100 has 144 divisors (see below), whose sum is σ = 557991661747968. Its totient is φ = 60611339036160.

The previous prime is 200220222120091. The next prime is 200220222120173. The reversal of 200220222120100 is 1021222022002.

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 47 ways as a sum of consecutive naturals, for example, 478099879 + ... + 478518478.

It is an arithmetic number, because the mean of its divisors is an integer number (3874942095472).

Almost surely, 2200220222120100 is an apocalyptic number.

200220222120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200220222120100 is an abundant number, since it is smaller than the sum of its proper divisors (357771439627868).

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

200220222120100 is a wasteful number, since it uses less digits than its factorization.

200220222120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956618414 (or 956618407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200220222120100 its reverse (1021222022002), we get a palindrome (201241444142102).

The spelling of 200220222120100 in words is "two hundred trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 23 25 26 28 35 46 50 52 65 70 91 92 100 115 130 140 161 175 182 230 260 299 322 325 350 364 455 460 575 598 644 650 700 805 910 1150 1196 1300 1495 1610 1820 2093 2275 2300 2990 3220 4025 4186 4550 5980 7475 8050 8372 9100 10465 14950 16100 20930 29900 41860 52325 104650 209300 956618357 1913236714 3826473428 4783091785 6696328499 9566183570 12436038641 13392656998 19132367140 22002222211 23915458925 24872077282 26785313996 33481642495 44004444422 47830917850 49744154564 62180193205 66963284990 87052270487 88008888844 95661835700 110011111055 124360386410 133926569980 154015555477 167408212475 174104540974 220022222110 248720772820 286028888743 308031110954 310900966025 334816424950 348209081948 435261352435 440044444220 550055555275 572057777486 616062221908 621801932050 669632849900 770077777385 870522704870 1100111110550 1144115554972 1243603864100 1430144443715 1540155554770 1741045409740 2002202221201 2176306762175 2200222221100 2860288887430 3080311109540 3850388886925 4004404442402 4352613524350 5720577774860 7150722218575 7700777773850 8008808884804 8705227048700 10011011106005 14301444437150 15401555547700 20022022212010 28602888874300 40044044424020 50055055530025 100110111060050 200220222120100