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212023320212 = 221153731379091
BaseRepresentation
bin1100010101110110010…
…0110001111010010100
3202021021021021122011102
43011131210301322110
511433210432221322
6241222511325232
721214064325464
oct3053544617224
9667237248142
10212023320212
1181a11700680
1235112220818
1316cbc25a432
14a394c4dba4
1557adc9e792
hex315d931e94

212023320212 has 96 divisors (see below), whose sum is σ = 421156278144. Its totient is φ = 92569651200.

The previous prime is 212023320209. The next prime is 212023320241.

It is a happy number.

212023320212 is nontrivially palindromic in base 10.

212023320212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 23317787 + ... + 23326877.

It is an arithmetic number, because the mean of its divisors is an integer number (4387044564).

Almost surely, 2212023320212 is an apocalyptic number.

212023320212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212023320212 is a deficient number, since it is larger than the sum of its proper divisors (209132957932).

212023320212 is a wasteful number, since it uses less digits than its factorization.

212023320212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9369 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 212023 and 320212, that added together give a palindrome (532235).

The spelling of 212023320212 in words is "two hundred twelve billion, twenty-three million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 53 73 106 137 146 212 274 292 548 583 803 1166 1507 1606 2332 3014 3212 3869 6028 7261 7738 9091 10001 14522 15476 18182 20002 29044 36364 40004 42559 79871 85118 100001 110011 159742 170236 200002 220022 319484 400004 440044 481823 530053 663643 963646 1060106 1245467 1327286 1927292 2120212 2490934 2654572 4981868 5300053 5830583 7300073 10600106 11661166 13700137 14600146 21200212 23322332 27400274 29200292 35173079 54800548 66009751 70346158 90919091 132019502 140692316 181838182 264039004 363676364 386903869 726107261 773807738 1000110001 1452214522 1547615476 2000220002 2904429044 4000440004 4818711823 9637423646 19274847292 53005830053 106011660106 212023320212