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212320011120 = 24357612071819
BaseRepresentation
bin1100010110111101000…
…0100100001101110000
3202022000221120002120120
43011233100210031300
511434312410323440
6241312150410240
721224326213530
oct3055720441560
9668027502516
10212320011120
1182054124978
1235195660980
1317038869c99
14a3c24014c0
1557c9d57dd0
hex316f424370

212320011120 has 160 divisors (see below), whose sum is σ = 764551303680. Its totient is φ = 47734686720.

The previous prime is 212320011107. The next prime is 212320011173. The reversal of 212320011120 is 21110023212.

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 212320011120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933430 + ... + 1138389.

It is an arithmetic number, because the mean of its divisors is an integer number (4778445648).

Almost surely, 2212320011120 is an apocalyptic number.

212320011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212320011120 is an abundant number, since it is smaller than the sum of its proper divisors (552231292560).

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

212320011120 is a wasteful number, since it uses less digits than its factorization.

212320011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071903 (or 2071897 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212320011120 its reverse (21110023212), we get a palindrome (233430034332).

The spelling of 212320011120 in words is "two hundred twelve billion, three hundred twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1220 1281 1464 1680 1708 1830 2135 2440 2562 2928 3416 3660 4270 4880 5124 6405 6832 7320 8540 10248 12810 14640 17080 20496 25620 34160 51240 102480 2071819 4143638 6215457 8287276 10359095 12430914 14502733 16574552 20718190 24861828 29005466 31077285 33149104 41436380 43508199 49723656 58010932 62154570 72513665 82872760 87016398 99447312 116021864 124309140 126380959 145027330 165745520 174032796 217540995 232043728 248618280 252761918 290054660 348065592 379142877 435081990 497236560 505523836 580109320 631904795 696131184 758285754 870163980 884666713 1011047672 1160218640 1263809590 1516571508 1740327960 1769333426 1895714385 2022095344 2527619180 2654000139 3033143016 3480655920 3538666852 3791428770 4423333565 5055238360 5308000278 6066286032 7077333704 7582857540 8846667130 10110476720 10616000556 13270000695 14154667408 15165715080 17693334260 21232001112 26540001390 30331430160 35386668520 42464002224 53080002780 70773337040 106160005560 212320011120