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1155012012 = 22327113113441
BaseRepresentation
bin100010011011000…
…0001010110101100
32222111100200121200
41010312001112230
54331140341022
6310335525500
740423303650
oct10466012654
92874320550
101155012012
11542a79690
12282989890
131553a247b
14ad57ca60
156b600bac
hex44d815ac

1155012012 has 144 divisors (see below), whose sum is σ = 3757737984. Its totient is φ = 290304000.

The previous prime is 1155011993. The next prime is 1155012013. The reversal of 1155012012 is 2102105511.

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 (1155012013) 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, 79212 + ... + 92652.

Almost surely, 21155012012 is an apocalyptic number.

1155012012 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 1155012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878868992).

1155012012 is an abundant number, since it is smaller than the sum of its proper divisors (2602725972).

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

1155012012 is a wasteful number, since it uses less digits than its factorization.

1155012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500 (or 13495 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1155012012 is about 33985.4676589862. The cubic root of 1155012012 is about 1049.2093857963.

Adding to 1155012012 its reverse (2102105511), we get a palindrome (3257117523).

The spelling of 1155012012 in words is "one billion, one hundred fifty-five million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 13441 14322 21483 26882 28644 40323 42966 53764 80646 85932 94087 120969 147851 161292 188174 241938 282261 295702 376348 416671 443553 483876 564522 591404 833342 846783 887106 1034957 1129044 1250013 1330659 1666684 1693566 1774212 2069914 2500026 2661318 2916697 3104871 3387132 3750039 4139828 4583381 5000052 5322636 5833394 6209742 7500078 8750091 9166762 9314613 11666788 12419484 13750143 15000156 17500182 18333524 18629226 26250273 27500286 32083667 35000364 37258452 41250429 52500546 55000572 64167334 82500858 96251001 105001092 128334668 165001716 192502002 288753003 385004004 577506006 1155012012