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118284012 = 223271171601
BaseRepresentation
bin1110000110011…
…01111011101100
322020120110011100
413003031323230
5220240042022
615423123100
72634253230
oct703157354
9266513140
10118284012
116084a590
1233743490
131b675b52
14119d05c0
15a5b71ac
hex70cdeec

118284012 has 144 divisors (see below), whose sum is σ = 378653184. Its totient is φ = 30240000.

The previous prime is 118283983. The next prime is 118284037. The reversal of 118284012 is 210482811.

118284012 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×1182840122 = 27982214989632288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196512 + ... + 197112.

It is an arithmetic number, because the mean of its divisors is an integer number (2629536).

Almost surely, 2118284012 is an apocalyptic number.

118284012 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 118284012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189326592).

118284012 is an abundant number, since it is smaller than the sum of its proper divisors (260369172).

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

118284012 is a wasteful number, since it uses less digits than its factorization.

118284012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 118284012 is about 10875.8453464547. The cubic root of 118284012 is about 490.8800123816.

The spelling of 118284012 in words is "one hundred eighteen million, two hundred eighty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 71 77 84 99 126 132 142 154 198 213 231 252 284 308 396 426 462 497 601 639 693 781 852 924 994 1202 1278 1386 1491 1562 1803 1988 2343 2404 2556 2772 2982 3124 3606 4207 4473 4686 5409 5467 5964 6611 7029 7212 8414 8946 9372 10818 10934 12621 13222 14058 16401 16828 17892 19833 21636 21868 25242 26444 28116 32802 37863 39666 42671 46277 49203 50484 59499 65604 75726 79332 85342 92554 98406 118998 128013 138831 151452 170684 185108 196812 237996 256026 277662 298697 384039 416493 469381 512052 555324 597394 768078 832986 896091 938762 1194788 1408143 1536156 1665972 1792182 1877524 2688273 2816286 3285667 3584364 4224429 5376546 5632572 6571334 8448858 9857001 10753092 13142668 16897716 19714002 29571003 39428004 59142006 118284012