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212322122320 = 245711311111867
BaseRepresentation
bin1100010110111101100…
…0100111101001010000
3202022001002112100121011
43011233120213221100
511434313430403240
6241312303540304
721224353155610
oct3055730475120
9668032470534
10212322122320
1182055337070
12351962ba694
1317039128c09
14a3c27d0a40
1557ca1236ea
hex316f627a50

212322122320 has 160 divisors (see below), whose sum is σ = 635312480256. Its totient is φ = 64043481600.

The previous prime is 212322122303. The next prime is 212322122321. The reversal of 212322122320 is 23221223212.

212322122320 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 212322122291 and 212322122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212322122321) 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 31 ways as a sum of consecutive naturals, for example, 364974 + ... + 746893.

Almost surely, 2212322122320 is an apocalyptic number.

212322122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212322122320 is an abundant number, since it is smaller than the sum of its proper divisors (422990357936).

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

212322122320 is a wasteful number, since it uses less digits than its factorization.

212322122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111929 (or 1111923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212322122320 its reverse (23221223212), we get a palindrome (235543345532).

The spelling of 212322122320 in words is "two hundred twelve billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 385 434 440 496 560 616 620 682 770 868 880 1085 1232 1240 1364 1540 1705 1736 2170 2387 2480 2728 3080 3410 3472 4340 4774 5456 6160 6820 8680 9548 11935 13640 17360 19096 23870 27280 38192 47740 95480 190960 1111867 2223734 4447468 5559335 7783069 8894936 11118670 12230537 15566138 17789872 22237340 24461074 31132276 34467877 38915345 44474680 48922148 61152685 62264552 68935754 77830690 85613759 88949360 97844296 122305370 124529104 137871508 155661380 171227518 172339385 195688592 241275139 244610740 275743016 311322760 342455036 344678770 379146647 428068795 482550278 489221480 551486032 622645520 684910072 689357540 758293294 856137590 965100556 978442960 1206375695 1369820144 1378715080 1516586588 1712275180 1895733235 1930201112 2412751390 2654026529 2757430160 3033173176 3424550360 3791466470 3860402224 4825502780 5308053058 6066346352 6849100720 7582932940 9651005560 10616106116 13270132645 15165865880 19302011120 21232212232 26540265290 30331731760 42464424464 53080530580 106161061160 212322122320