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212313322320 = 243511174730689
BaseRepresentation
bin1100010110111011011…
…1000011001101010000
3202022000110222021021020
43011232313003031100
511434304202303240
6241311351155440
721224215314621
oct3055667031520
9668013867236
10212313322320
1182050376540
1235193375b80
1317037367608
14a3c157da48
1557c94860d0
hex316edc3350

212313322320 has 160 divisors (see below), whose sum is σ = 760240805760. Its totient is φ = 48442245120.

The previous prime is 212313322313. The next prime is 212313322339. The reversal of 212313322320 is 23223313212.

212313322320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2320465 + ... + 2410224.

It is an arithmetic number, because the mean of its divisors is an integer number (4751505036).

Almost surely, 2212313322320 is an apocalyptic number.

212313322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212313322320 is an abundant number, since it is smaller than the sum of its proper divisors (547927483440).

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

212313322320 is a wasteful number, since it uses less digits than its factorization.

212313322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730733 (or 4730727 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212313322320 its reverse (23223313212), we get a palindrome (235536635532).

The spelling of 212313322320 in words is "two hundred twelve billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 22440 44880 4730689 9461378 14192067 18922756 23653445 28384134 37845512 47306890 52037579 56768268 70960335 75691024 80421713 94613780 104075158 113536536 141920670 156112737 160843426 189227560 208150316 227073072 241265139 260187895 283841340 312225474 321686852 378455120 402108565 416300632 482530278 520375790 567682680 624450948 643373704 780563685 804217130 832601264 884638843 965060556 1040751580 1135365360 1206325695 1248901896 1286747408 1561127370 1608434260 1769277686 1930121112 2081503160 2412651390 2497803792 2653916529 3122254740 3216868520 3538555372 3860242224 4163006320 4423194215 4825302780 5307833058 6244509480 6433737040 7077110744 8846388430 9650605560 10615666116 12489018960 13269582645 14154221488 17692776860 19301211120 21231332232 26539165290 35385553720 42462664464 53078330580 70771107440 106156661160 212313322320