Search a number
-
+
1010003303001 = 3711192343232681
BaseRepresentation
bin11101011001010001110…
…00110101101001011001
310120112222212101212110210
432230220320311221121
5113021441321144001
62051553352001333
7132653552265510
oct16545070655131
93515885355423
101010003303001
1135a381596560
121438b4090249
1374320871544
1436c54bc9677
151b414a77dd6
hexeb28e35a59

1010003303001 has 128 divisors (see below), whose sum is σ = 1887069634560. Its totient is φ = 464392051200.

The previous prime is 1010003302993. The next prime is 1010003303083. The reversal of 1010003303001 is 1003033000101.

It is not a de Polignac number, because 1010003303001 - 23 = 1010003302993 is a prime.

It is a super-3 number, since 3×10100033030013 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010003301001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4224381 + ... + 4457061.

It is an arithmetic number, because the mean of its divisors is an integer number (14742731520).

Almost surely, 21010003303001 is an apocalyptic number.

1010003303001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010003303001 is a deficient number, since it is larger than the sum of its proper divisors (877066331559).

1010003303001 is a wasteful number, since it uses less digits than its factorization.

1010003303001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232787.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1010003303001 its reverse (1003033000101), we get a palindrome (2013036303102).

The spelling of 1010003303001 in words is "one trillion, ten billion, three million, three hundred three thousand, one".

Divisors: 1 3 7 11 19 21 23 33 43 57 69 77 129 133 161 209 231 253 301 399 437 473 483 627 759 817 903 989 1311 1419 1463 1771 2451 2967 3059 3311 4389 4807 5313 5719 6923 8987 9177 9933 10879 14421 17157 18791 20769 26961 32637 33649 56373 62909 76153 100947 131537 188727 206701 228459 232681 394611 620103 698043 1446907 1628767 2559491 4340721 4420939 4886301 5351663 7678473 10005283 13262817 16054989 17916437 30015849 30946573 37461641 48630329 53749311 58868293 70036981 92839719 101681597 110058113 112384923 145890987 176604879 190100377 210110943 230121509 305044791 330174339 340412303 412078051 570301131 690364527 711771179 770406791 1021236909 1118497567 1236234153 1330702639 1610850563 2091104147 2135313537 2311220373 2531336599 3355492701 3992107917 4372308671 4832551689 6273312441 7594009797 7829482969 13116926013 14637729029 17719356193 23488448907 30606160697 43913187087 48095395381 53158068579 91818482091 144286186143 336667767667 1010003303001