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1331002112 = 28113179193
BaseRepresentation
bin100111101010101…
…0111101100000000
310102202111220122112
41033111113230000
510211214031422
6340023554452
744661221426
oct11725275400
93382456575
101331002112
11623352650
123118bba28
131829a111b
14c8ab1116
157bcb5ee2
hex4f557b00

1331002112 has 144 divisors (see below), whose sum is σ = 3045396480. Its totient is φ = 575078400.

The previous prime is 1331002109. The next prime is 1331002121. The reversal of 1331002112 is 2112001331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6896288 + ... + 6896480.

Almost surely, 21331002112 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 1331002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522698240).

1331002112 is an abundant number, since it is smaller than the sum of its proper divisors (1714394368).

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

1331002112 is a wasteful number, since it uses less digits than its factorization.

1331002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1331002112 is about 36482.9016389870. The cubic root of 1331002112 is about 1100.0005818179. Note that the first 3 decimals are identical.

Adding to 1331002112 its reverse (2112001331), we get a palindrome (3443003443).

The spelling of 1331002112 in words is "one billion, three hundred thirty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 79 88 124 128 158 176 193 248 256 316 341 352 386 496 632 682 704 772 869 992 1264 1364 1408 1544 1738 1984 2123 2449 2528 2728 2816 3088 3476 3968 4246 4898 5056 5456 5983 6176 6952 7936 8492 9796 10112 10912 11966 12352 13904 15247 16984 19592 20224 21824 23932 24704 26939 27808 30494 33968 39184 43648 47864 49408 53878 55616 60988 65813 67936 78368 87296 95728 107756 111232 121976 131626 135872 156736 167717 191456 215512 222464 243952 263252 271744 313472 335434 382912 431024 472657 487904 526504 543488 626944 670868 765824 862048 945314 975808 1053008 1341736 1531648 1724096 1890628 1951616 2106016 2683472 3448192 3781256 3903232 4212032 5199227 5366944 6896384 7562512 8424064 10398454 10733888 15125024 16848128 20796908 21467776 30250048 41593816 42935552 60500096 83187632 121000192 166375264 332750528 665501056 1331002112