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1123020012 = 2232931412539
BaseRepresentation
bin100001011101111…
…1110110011101100
32220021011022211210
41002323332303230
54244443120022
6303234114420
736554340552
oct10273766354
92807138753
101123020012
11526a08614
1227411ba10
1314b8808aa
14a9211bd2
15688d1a0c
hex42efecec

1123020012 has 96 divisors (see below), whose sum is σ = 2867558400. Its totient is φ = 341107200.

The previous prime is 1123020001. The next prime is 1123020077. The reversal of 1123020012 is 2100203211.

It is a super-2 number, since 2×11230200122 = 2522347894704960288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1123020012.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 441039 + ... + 443577.

It is an arithmetic number, because the mean of its divisors is an integer number (29870400).

Almost surely, 21123020012 is an apocalyptic number.

1123020012 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 1123020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433779200).

1123020012 is an abundant number, since it is smaller than the sum of its proper divisors (1744538388).

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

1123020012 is a wasteful number, since it uses less digits than its factorization.

1123020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1123020012 is about 33511.4907457129. The cubic root of 1123020012 is about 1039.4313989971.

Adding to 1123020012 its reverse (2100203211), we get a palindrome (3223223223).

The spelling of 1123020012 in words is "one billion, one hundred twenty-three million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 29 31 41 58 62 82 87 93 116 123 124 164 174 186 246 348 372 492 899 1189 1271 1798 2378 2539 2542 2697 3567 3596 3813 4756 5078 5084 5394 7134 7617 7626 10156 10788 14268 15234 15252 30468 36859 73631 73718 78709 104099 110577 147262 147436 157418 208198 220893 221154 236127 294524 312297 314836 416396 441786 442308 472254 624594 883572 944508 1249188 2282561 3018871 3227069 4565122 6037742 6454138 6847683 9056613 9130244 9681207 12075484 12908276 13695366 18113226 19362414 27390732 36226452 38724828 93585001 187170002 280755003 374340004 561510006 1123020012