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112213102212 = 2232194124116603
BaseRepresentation
bin110100010000001101…
…1000000111010000100
3101201122022202012212200
41220200123000322010
53314303023232322
6123314444114500
711051513426331
oct1504033007204
9351568665780
10112213102212
1143653409602
12198b7b35a30
13a773b68143
1456070b1988
152dbb5518ac
hex1a206c0e84

112213102212 has 144 divisors (see below), whose sum is σ = 307148761920. Its totient is φ = 34425907200.

The previous prime is 112213102163. The next prime is 112213102217. The reversal of 112213102212 is 212201312211.

112213102212 is a `hidden beast` number, since 112 + 21 + 310 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112213102217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6750303 + ... + 6766905.

Almost surely, 2112213102212 is an apocalyptic number.

112213102212 is a gapful number since it is divisible by the number (12) 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 112213102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153574380960).

112213102212 is an abundant number, since it is smaller than the sum of its proper divisors (194935659708).

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

112213102212 is a wasteful number, since it uses less digits than its factorization.

112213102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16914 (or 16909 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112213102212 its reverse (212201312211), we get a palindrome (324414414423).

The spelling of 112213102212 in words is "one hundred twelve billion, two hundred thirteen million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 241 246 342 369 482 492 684 723 738 779 964 1446 1476 1558 2169 2337 2892 3116 4338 4579 4674 7011 8676 9158 9348 9881 13737 14022 16603 18316 19762 27474 28044 29643 33206 39524 41211 49809 54948 59286 66412 82422 88929 99618 118572 149427 164844 177858 187739 199236 298854 315457 355716 375478 563217 597708 630914 680723 750956 946371 1126434 1261828 1361446 1689651 1892742 2042169 2252868 2722892 2839113 3379302 3785484 4001323 4084338 5678226 6126507 6758604 8002646 8168676 11356452 12003969 12253014 12933737 16005292 24007938 24506028 25867474 36011907 38801211 48015876 51734948 72023814 76025137 77602422 116403633 144047628 152050274 155204844 164054243 228075411 232807266 304100548 328108486 456150822 465614532 492162729 656216972 684226233 912301644 984325458 1368452466 1476488187 1968650916 2736904932 2952976374 3117030617 5905952748 6234061234 9351091851 12468122468 18702183702 28053275553 37404367404 56106551106 112213102212