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1001212068 = 2231983191277
BaseRepresentation
bin111011101011010…
…100100010100100
32120202221211202110
4323223110202210
54022302241233
6243203241020
733545106423
oct7353244244
92522854673
101001212068
1147418149a
1223b379170
1312c572a9c
1496d852ba
155cd70663
hex3bad48a4

1001212068 has 96 divisors (see below), whose sum is σ = 2510807040. Its totient is φ = 309605760.

The previous prime is 1001212067. The next prime is 1001212081. The reversal of 1001212068 is 8602121001.

1001212068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001212067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3614346 + ... + 3614622.

It is an arithmetic number, because the mean of its divisors is an integer number (26154240).

Almost surely, 21001212068 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 1001212068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255403520).

1001212068 is an abundant number, since it is smaller than the sum of its proper divisors (1509594972).

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

1001212068 is a wasteful number, since it uses less digits than its factorization.

1001212068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1001212068 is about 31641.9352758329. The cubic root of 1001212068 is about 1000.4038595422.

Adding to 1001212068 its reverse (8602121001), we get a palindrome (9603333069).

The spelling of 1001212068 in words is "one billion, one million, two hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 191 228 249 277 332 382 498 554 573 764 831 996 1108 1146 1577 1662 2292 3154 3324 3629 4731 5263 6308 7258 9462 10526 10887 14516 15789 15853 18924 21052 21774 22991 31578 31706 43548 45982 47559 52907 63156 63412 68973 91964 95118 105814 137946 158721 190236 211628 275892 301207 317442 436829 602414 634884 873658 903621 1005233 1204828 1310487 1747316 1807242 2010466 2620974 3015699 3614484 4020932 4391281 5241948 6031398 8782562 12062796 13173843 17565124 26347686 52695372 83434339 166868678 250303017 333737356 500606034 1001212068