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212021131300 = 2252114710738327
BaseRepresentation
bin1100010101110101110…
…0011011100000100100
3202021021010011102112121
43011131130123200210
511433204402200200
6241222352355324
721214036611016
oct3053534334044
9667233142477
10212021131300
1181a10446060
1235111545b44
1316cbb972014
14a3948401b6
1557ad9bae1a
hex315d71b824

212021131300 has 144 divisors (see below), whose sum is σ = 517394884608. Its totient is φ = 74751030400.

The previous prime is 212021131291. The next prime is 212021131303. The reversal of 212021131300 is 3131120212.

It is not an unprimeable number, because it can be changed into a prime (212021131303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5512737 + ... + 5551063.

It is an arithmetic number, because the mean of its divisors is an integer number (3593020032).

Almost surely, 2212021131300 is an apocalyptic number.

212021131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258697442304).

212021131300 is an abundant number, since it is smaller than the sum of its proper divisors (305373753308).

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

212021131300 is a wasteful number, since it uses less digits than its factorization.

212021131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38506 (or 38499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212021131300 its reverse (3131120212), we get a palindrome (215152251512).

The spelling of 212021131300 in words is "two hundred twelve billion, twenty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 107 110 188 214 220 235 275 428 470 517 535 550 940 1034 1070 1100 1175 1177 2068 2140 2350 2354 2585 2675 4700 4708 5029 5170 5350 5885 10058 10340 10700 11770 12925 20116 23540 25145 25850 29425 38327 50290 51700 55319 58850 76654 100580 110638 117700 125725 153308 191635 221276 251450 276595 383270 421597 502900 553190 766540 843194 958175 1106380 1382975 1686388 1801369 1916350 2107985 2765950 3602738 3832700 4100989 4215970 5531900 7205476 8201978 8431940 9006845 10539925 16403956 18013690 19815059 20504945 21079850 36027380 39630118 41009890 42159700 45034225 45110879 79260236 82019780 90068450 90221758 99075295 102524725 180136900 180443516 192746483 198150590 205049450 225554395 385492966 396301180 410098900 451108790 495376475 770985932 902217580 963732415 990752950 1127771975 1927464830 1981505900 2120211313 2255543950 3854929660 4240422626 4511087900 4818662075 8480845252 9637324150 10601056565 19274648300 21202113130 42404226260 53005282825 106010565650 212021131300