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212143210032 = 243134318234337
BaseRepresentation
bin1100010110010010111…
…0000111111000110000
3202021120121212200002010
43011210232013320300
511433432130210112
6241242433122520
721220051350465
oct3054456077060
9667517780063
10212143210032
1181a73347676
12351463b9440
131700b046160
14a3a6b3b66c
1557b958263c
hex3164b87e30

212143210032 has 160 divisors (see below), whose sum is σ = 604389316608. Its totient is φ = 63707148288.

The previous prime is 212143210007. The next prime is 212143210043. The reversal of 212143210032 is 230012341212.

It is a junction number, because it is equal to n+sod(n) for n = 212143209990 and 212143210008.

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, 48912568 + ... + 48916904.

Almost surely, 2212143210032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212143210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302194658304).

212143210032 is an abundant number, since it is smaller than the sum of its proper divisors (392246106576).

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

212143210032 is a wasteful number, since it uses less digits than its factorization.

212143210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212143210032 its reverse (230012341212), we get a palindrome (442155551244).

The spelling of 212143210032 in words is "two hundred twelve billion, one hundred forty-three million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 1823 2064 2236 3354 3646 4337 4472 5469 6708 7292 8674 8944 10938 13011 13416 14584 17348 21876 23699 26022 26832 29168 34696 43752 47398 52044 56381 69392 71097 78389 87504 94796 104088 112762 142194 156778 169143 186491 189592 208176 225524 235167 284388 313556 338286 372982 379184 451048 470334 559473 568776 627112 676572 745964 902096 940668 1019057 1118946 1137552 1254224 1353144 1491928 1881336 2038114 2237892 2424383 2706288 2983856 3057171 3762672 4076228 4475784 4848766 6114342 7273149 7906351 8152456 8951568 9697532 12228684 14546298 15812702 16304912 19395064 23719053 24457368 29092596 31625404 38790128 47438106 48914736 58185192 63250808 94876212 102782563 116370384 126501616 189752424 205565126 308347689 339973093 379504848 411130252 616695378 679946186 822260504 1019919279 1233390756 1359892372 1644521008 2039838558 2466781512 2719784744 4079677116 4419650209 4933563024 5439569488 8159354232 8839300418 13258950627 16318708464 17678600836 26517901254 35357201672 53035802508 70714403344 106071605016 212143210032