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22002112200120 = 23351355021256337
BaseRepresentation
bin1010000000010110001000…
…00101001111110110111000
32212220101022000210020110220
411000023010011033312320
510340440311210400440
6114443344130540040
74430412564645543
oct500130405176670
985811260706426
1022002112200120
11701305281a058
1225741a6a37620
13c37a37318060
14560c9d45185a
152824d34da8d0
hex1402c414fdb8

22002112200120 has 128 divisors (see below), whose sum is σ = 71085316357440. Its totient is φ = 5415784980480.

The previous prime is 22002112200119. The next prime is 22002112200191. The reversal of 22002112200120 is 2100221120022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22002112200120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85704592 + ... + 85960928.

Almost surely, 222002112200120 is an apocalyptic number.

22002112200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002112200120 is an abundant number, since it is smaller than the sum of its proper divisors (49083204157320).

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

22002112200120 is a wasteful number, since it uses less digits than its factorization.

22002112200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311385 (or 311381 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22002112200120 its reverse (2100221120022), we get a palindrome (24102333320142).

The spelling of 22002112200120 in words is "twenty-two trillion, two billion, one hundred twelve million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 55021 110042 165063 220084 256337 275105 330126 440168 512674 550210 660252 715273 769011 825315 1025348 1100420 1281685 1320504 1430546 1538022 1650630 2050696 2145819 2200840 2563370 2861092 3076044 3301260 3332381 3576365 3845055 4291638 5126740 5722184 6152088 6602520 6664762 7152730 7690110 8583276 9997143 10253480 10729095 13329524 14305460 15380220 16661905 17166552 19994286 21458190 26659048 28610920 30760440 33323810 39988572 42916380 49985715 66647620 79977144 85832760 99971430 133295240 199942860 399885720 14103918077 28207836154 42311754231 56415672308 70519590385 84623508462 112831344616 141039180770 169247016924 183350935001 211558771155 282078361540 338494033848 366701870002 423117542310 550052805003 564156723080 733403740004 846235084620 916754675005 1100105610006 1466807480008 1692470169240 1833509350010 2200211220012 2750264025015 3667018700020 4400422440024 5500528050030 7334037400040 11001056100060 22002112200120