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212021230320 = 24335412394097
BaseRepresentation
bin1100010101110101110…
…0110011101011110000
3202021021010100110101000
43011131130303223300
511433204413332240
6241222354442000
721214040502504
oct3053534635360
9667233313330
10212021230320
1181a10503499
1235111593300
1316cbb9a8103
14a394868304
1557ad9da430
hex315d733af0

212021230320 has 160 divisors (see below), whose sum is σ = 748107743040. Its totient is φ = 55159971840.

The previous prime is 212021230319. The next prime is 212021230331. The reversal of 212021230320 is 23032120212.

212021230320 is a `hidden beast` number, since 21 + 202 + 123 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212021230293 and 212021230302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108489 + ... + 1285608.

It is an arithmetic number, because the mean of its divisors is an integer number (4675673394).

Almost surely, 2212021230320 is an apocalyptic number.

212021230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021230320 is an abundant number, since it is smaller than the sum of its proper divisors (536086512720).

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

212021230320 is a wasteful number, since it uses less digits than its factorization.

212021230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394160 (or 2394148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212021230320 its reverse (23032120212), we get a palindrome (235053350532).

The spelling of 212021230320 in words is "two hundred twelve billion, twenty-one million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7380 8856 9840 11070 14760 17712 22140 29520 44280 88560 2394097 4788194 7182291 9576388 11970485 14364582 19152776 21546873 23940970 28729164 35911455 38305552 43093746 47881940 57458328 64640619 71822910 86187492 95763880 98157977 107734365 114916656 129281238 143645820 172374984 191527760 196315954 215468730 258562476 287291640 294473931 323203095 344749968 392631908 430937460 490789885 517124952 574583280 588947862 646406190 785263816 861874920 883421793 981579770 1034249904 1177895724 1292812380 1472369655 1570527632 1723749840 1766843586 1963159540 2355791448 2585624760 2650265379 2944739310 3533687172 3926319080 4417108965 4711582896 5171249520 5300530758 5889478620 7067374344 7852638160 8834217930 10601061516 11778957240 13251326895 14134748688 17668435860 21202123032 23557914480 26502653790 35336871720 42404246064 53005307580 70673743440 106010615160 212021230320