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1001223233312 = 251916395310601
BaseRepresentation
bin11101001000111011000…
…11100001111100100000
310112201022222011010010112
432210131203201330200
5112401001121431222
62043542224350452
7132223150030631
oct16443543417440
93481288133115
101001223233312
11356686460215
12142063775428
1373551836033
1436660aa3888
151b09dd40be2
hexe91d8e1f20

1001223233312 has 96 divisors (see below), whose sum is σ = 2090020605120. Its totient is φ = 470815027200.

The previous prime is 1001223233299. The next prime is 1001223233317. The reversal of 1001223233312 is 2133323221001.

It is not an unprimeable number, because it can be changed into a prime (1001223233317) 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, 94440812 + ... + 94451412.

It is an arithmetic number, because the mean of its divisors is an integer number (21771047970).

Almost surely, 21001223233312 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 1001223233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045010302560).

1001223233312 is an abundant number, since it is smaller than the sum of its proper divisors (1088797371808).

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

1001223233312 is a wasteful number, since it uses less digits than its factorization.

1001223233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11746 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1001223233312 its reverse (2133323221001), we get a palindrome (3134546454313).

The spelling of 1001223233312 in words is "one trillion, one billion, two hundred twenty-three million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 163 304 326 608 652 953 1304 1906 2608 3097 3812 5216 6194 7624 10601 12388 15248 18107 21202 24776 30496 36214 42404 49552 72428 84808 99104 144856 155339 169616 201419 289712 310678 339232 402838 579424 621356 805676 1242712 1611352 1727963 2485424 2951441 3222704 3455926 4970848 5902882 6445408 6911852 10102753 11805764 13823704 20205506 23611528 27647408 32831297 40411012 47223056 55294816 65662594 80822024 94446112 131325188 161644048 191952307 262650376 323288096 383904614 525300752 767809228 1050601504 1535618456 1646748739 3071236912 3293497478 6142473824 6586994956 13173989912 26347979824 31288226041 52695959648 62576452082 125152904164 250305808328 500611616656 1001223233312