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10221220022200 = 23521117273294653
BaseRepresentation
bin1001010010111101000000…
…1100000100011110111000
31100012010202101201202101221
42110233100030010132320
52314431024311202300
633423321425521424
72103313234454245
oct224572014043670
940163671652357
1010221220022200
113290882265a50
121190b35aa3274
13591b1a837045
142749d15585cc
1512ad262c631a
hex94bd03047b8

10221220022200 has 96 divisors (see below), whose sum is σ = 27449715047760. Its totient is φ = 3498171545600.

The previous prime is 10221220022171. The next prime is 10221220022207. The reversal of 10221220022200 is 222002212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221220022207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136609927 + ... + 136684726.

Almost surely, 210221220022200 is an apocalyptic number.

10221220022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221220022200 is an abundant number, since it is smaller than the sum of its proper divisors (17228495025560).

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

10221220022200 is a wasteful number, since it uses less digits than its factorization.

10221220022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273294697 (or 273294688 counting only the distinct ones).

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

Adding to 10221220022200 its reverse (222002212201), we get a palindrome (10443222234401).

The spelling of 10221220022200 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 273294653 546589306 1093178612 1366473265 2186357224 2732946530 3006241183 4646009101 5465893060 6012482366 6832366325 9292018202 10931786120 12024964732 13664732650 15031205915 18584036404 23230045505 24049929464 27329465300 30062411830 37168072808 46460091010 51106100111 54658930600 60124823660 75156029575 92920182020 102212200222 116150227525 120249647320 150312059150 185840364040 204424400444 232300455050 255530500555 300624118300 408848800888 464600910100 511061001110 601248236600 929201820200 1022122002220 1277652502775 2044244004440 2555305005550 5110610011100 10221220022200