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212023321120 = 25513566917981
BaseRepresentation
bin1100010101110110010…
…0110010001000100000
3202021021021021200102001
43011131210302020200
511433210432233440
6241222511333344
721214064331232
oct3053544621040
9667237250361
10212023321120
1181a11701326
1235112221254
1316cbc25a980
14a394c50252
1557adc9eb9a
hex315d932220

212023321120 has 96 divisors (see below), whose sum is σ = 539561418480. Its totient is φ = 78267371520.

The previous prime is 212023321117. The next prime is 212023321217. The reversal of 212023321120 is 21123320212.

It can be written as a sum of positive squares in 8 ways, for example, as 96023135376 + 116000185744 = 309876^2 + 340588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11782530 + ... + 11800510.

Almost surely, 2212023321120 is an apocalyptic number.

212023321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212023321120 is an abundant number, since it is smaller than the sum of its proper divisors (327538097360).

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

212023321120 is a wasteful number, since it uses less digits than its factorization.

212023321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23678 (or 23670 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212023321120 its reverse (21123320212), we get a palindrome (233146641332).

The spelling of 212023321120 in words is "two hundred twelve billion, twenty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5669 11338 17981 22676 28345 35962 45352 56690 71924 73697 89905 90704 113380 143848 147394 179810 181408 226760 233753 287696 294788 359620 368485 453520 467506 575392 589576 719240 736970 907040 935012 1168765 1179152 1438480 1473940 1870024 2337530 2358304 2876960 2947880 3740048 4675060 5895760 7480096 9350120 11791520 18700240 37400480 101934289 203868578 407737156 509671445 815474312 1019342890 1325145757 1630948624 2038685780 2650291514 3261897248 4077371560 5300583028 6625728785 8154743120 10601166056 13251457570 16309486240 21202332112 26502915140 42404664224 53005830280 106011660560 212023321120