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1001102312 = 237181283349
BaseRepresentation
bin111011101010111…
…001101111101000
32120202202021012102
4323222321233220
54022240233222
6243201032532
733544141430
oct7352715750
92522667172
101001102312
11474106a91
1223b325748
1312c534b42
1496d572c0
155cd4cd92
hex3bab9be8

1001102312 has 64 divisors (see below), whose sum is σ = 2170896000. Its totient is φ = 423947520.

The previous prime is 1001102309. The next prime is 1001102317. The reversal of 1001102312 is 2132011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001102293 and 1001102302.

It is not an unprimeable number, because it can be changed into a prime (1001102317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2868314 + ... + 2868662.

It is an arithmetic number, because the mean of its divisors is an integer number (33920250).

Almost surely, 21001102312 is an apocalyptic number.

It is an amenable number.

1001102312 is an abundant number, since it is smaller than the sum of its proper divisors (1169793688).

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

1001102312 is a wasteful number, since it uses less digits than its factorization.

1001102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1001102312 is about 31640.2008843180. The cubic root of 1001102312 is about 1000.3673024058.

Adding to 1001102312 its reverse (2132011001), we get a palindrome (3133113313).

The spelling of 1001102312 in words is "one billion, one million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 181 283 349 362 566 698 724 1132 1267 1396 1448 1981 2264 2443 2534 2792 3962 4886 5068 7924 9772 10136 15848 19544 51223 63169 98767 102446 126338 197534 204892 252676 358561 395068 409784 442183 505352 691369 717122 790136 884366 1382738 1434244 1768732 2765476 2868488 3537464 5530952 17876827 35753654 71507308 125137789 143014616 250275578 500551156 1001102312