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212220020112 = 24329892836053
BaseRepresentation
bin1100010110100101001…
…1001000010110010000
3202021202222102000200220
43011221103020112100
511434111311120422
6241254215313040
721222003256542
oct3055123102620
9667688360626
10212220020112
118200273a181
123516807b780
1317020c2a5c9
14a3b3013692
1557c11a5e5c
hex31694c8590

212220020112 has 160 divisors (see below), whose sum is σ = 575633692800. Its totient is φ = 67283521536.

The previous prime is 212220020063. The next prime is 212220020143. The reversal of 212220020112 is 211020022212.

It is a junction number, because it is equal to n+sod(n) for n = 212220020091 and 212220020100.

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, 35057278 + ... + 35063330.

It is an arithmetic number, because the mean of its divisors is an integer number (3597710580).

Almost surely, 2212220020112 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 212220020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287816846400).

212220020112 is an abundant number, since it is smaller than the sum of its proper divisors (363413672688).

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

212220020112 is a wasteful number, since it uses less digits than its factorization.

212220020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212220020112 its reverse (211020022212), we get a palindrome (423240042324).

The spelling of 212220020112 in words is "two hundred twelve billion, two hundred twenty million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 89 116 174 178 232 267 283 348 356 464 534 566 696 712 849 1068 1132 1392 1424 1698 2136 2264 2581 3396 4272 4528 5162 6053 6792 7743 8207 10324 12106 13584 15486 16414 18159 20648 24212 24621 25187 30972 32828 36318 41296 48424 49242 50374 61944 65656 72636 75561 96848 98484 100748 123888 131312 145272 151122 175537 196968 201496 290544 302244 351074 393936 402992 526611 538717 604488 702148 730423 1053222 1077434 1208976 1404296 1460846 1616151 1712999 2106444 2154868 2191269 2808592 2921692 3232302 3425998 4212888 4309736 4382538 5138997 5843384 6464604 6851996 8425776 8619472 8765076 10277994 11686768 12929208 13703992 15622793 17530152 20555988 25858416 27407984 31245586 35060304 41111976 46868379 49676971 62491172 82223952 93736758 99353942 124982344 149030913 152456911 187473516 198707884 249964688 298061826 304913822 374947032 397415768 457370733 596123652 609827644 749894064 794831536 914741466 1192247304 1219655288 1829482932 2384494608 2439310576 3658965864 4421250419 7317931728 8842500838 13263751257 17685001676 26527502514 35370003352 53055005028 70740006704 106110010056 212220020112