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10222112012220 = 22325192988921641
BaseRepresentation
bin1001010011000000010101…
…0110101111011110111100
31100012020001120011112200100
42110300011112233132330
52314434341133342340
633423550132201100
72103344315322243
oct224600526573674
940166046145610
1010222112012220
11329119a817289
121191144769190
13591c305878a4
14274a77bcb95a
1512ad7976e830
hex94c055af7bc

10222112012220 has 72 divisors (see below), whose sum is σ = 32639024330640. Its totient is φ = 2582428296960.

The previous prime is 10222112012207. The next prime is 10222112012249. The reversal of 10222112012220 is 2221021122201.

It is a happy number.

10222112012220 is a `hidden beast` number, since 10 + 22 + 211 + 201 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10222112012193 and 10222112012202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1494457401 + ... + 1494464240.

It is an arithmetic number, because the mean of its divisors is an integer number (453319782370).

Almost surely, 210222112012220 is an apocalyptic number.

10222112012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222112012220 is an abundant number, since it is smaller than the sum of its proper divisors (22416912318420).

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

10222112012220 is a wasteful number, since it uses less digits than its factorization.

10222112012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988921675 (or 2988921670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222112012220 its reverse (2221021122201), we get a palindrome (12443133134421).

The spelling of 10222112012220 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 2988921641 5977843282 8966764923 11955686564 14944608205 17933529846 26900294769 29889216410 35867059692 44833824615 53800589538 56789511179 59778432820 89667649230 107601179076 113579022358 134501473845 170368533537 179335298460 227158044716 269002947690 283947555895 340737067074 511105600611 538005895380 567895111790 681474134148 851842667685 1022211201222 1135790223580 1703685335370 2044422402444 2555528003055 3407370670740 5111056006110 10222112012220