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1001231316 = 223241678341
BaseRepresentation
bin111011101011011…
…001001111010100
32120202222211011100
4323223121033110
54022303400231
6243203510100
733545216511
oct7353311724
92522884140
101001231316
114741949a8
1223b388330
1312c57b787
1496d8c308
155cd761e6
hex3bad93d4

1001231316 has 36 divisors (see below), whose sum is σ = 2592623124. Its totient is φ = 325603200.

The previous prime is 1001231267. The next prime is 1001231327. The reversal of 1001231316 is 6131321001.

It can be written as a sum of positive squares in 2 ways, for example, as 74028816 + 927202500 = 8604^2 + 30450^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337695 + ... + 340646.

It is an arithmetic number, because the mean of its divisors is an integer number (72017309).

Almost surely, 21001231316 is an apocalyptic number.

It is an amenable number.

1001231316 is an abundant number, since it is smaller than the sum of its proper divisors (1591391808).

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

1001231316 is a wasteful number, since it uses less digits than its factorization.

1001231316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678392 (or 678387 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1001231316 is about 31642.2394277017. The cubic root of 1001231316 is about 1000.4102703219.

Adding to 1001231316 its reverse (6131321001), we get a palindrome (7132552317).

It can be divided in two parts, 10012 and 31316, that added together give a triangular number (41328 = T287).

The spelling of 1001231316 in words is "one billion, one million, two hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 678341 1356682 2035023 2713364 4070046 6105069 8140092 12210138 24420276 27811981 55623962 83435943 111247924 166871886 250307829 333743772 500615658 1001231316