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212151412450 = 252173116194973
BaseRepresentation
bin1100010110010100110…
…1011010011011100010
3202021121012022101200101
43011211031122123202
511433441230144300
6241243325013014
721220211152315
oct3054515323342
9667535271611
10212151412450
1181a77a3a22a
12351490b416a
131700c958763
14a3a7c7497c
1557ba152b6a
hex316535a6e2

212151412450 has 96 divisors (see below), whose sum is σ = 431644515840. Its totient is φ = 77229081600.

The previous prime is 212151412387. The next prime is 212151412457. The reversal of 212151412450 is 54214151212.

212151412450 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212151412457) 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 47 ways as a sum of consecutive naturals, for example, 42658164 + ... + 42663136.

It is an arithmetic number, because the mean of its divisors is an integer number (4496297040).

Almost surely, 2212151412450 is an apocalyptic number.

212151412450 is an abundant number, since it is smaller than the sum of its proper divisors (219493103390).

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

212151412450 is a wasteful number, since it uses less digits than its factorization.

212151412450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 212151412450 its reverse (54214151212), we get a palindrome (266365563662).

The spelling of 212151412450 in words is "two hundred twelve billion, one hundred fifty-one million, four hundred twelve thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 31 34 50 62 85 155 170 310 425 527 775 850 1054 1550 1619 2635 3238 4973 5270 8095 9946 13175 16190 24865 26350 27523 40475 49730 50189 55046 80950 84541 100378 124325 137615 154163 169082 248650 250945 275230 308326 422705 501890 688075 770815 845410 853213 1254725 1376150 1541630 1706426 2113525 2509450 2620771 3854075 4227050 4266065 5241542 7708150 8051287 8532130 13103855 16102574 21330325 26207710 40256435 42660650 65519275 80512870 131038550 136871879 201282175 249589897 273743758 402564350 499179794 684359395 1247949485 1368718790 2495898970 3421796975 4243028249 6239747425 6843593950 8486056498 12479494850 21215141245 42430282490 106075706225 212151412450