Search a number
-
+
1003121012201 = 71189456732051
BaseRepresentation
bin11101001100011101010…
…10111110110111101001
310112220020020011021100112
432212032222332313221
5112413342434342301
62044454420344105
7132321162626660
oct16461652766751
93486206137315
101003121012201
1135746a729620
121424b3245035
1373794a6c919
14367a0b4ddd7
151b1607609bb
hexe98eabede9

1003121012201 has 32 divisors (see below), whose sum is σ = 1265012951040. Its totient is φ = 772676784000.

The previous prime is 1003121012197. The next prime is 1003121012209. The reversal of 1003121012201 is 1022101213001.

It is not a de Polignac number, because 1003121012201 - 22 = 1003121012197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1003121012209) 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, 31281626 + ... + 31313676.

It is an arithmetic number, because the mean of its divisors is an integer number (39531654720).

Almost surely, 21003121012201 is an apocalyptic number.

1003121012201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003121012201 is a deficient number, since it is larger than the sum of its proper divisors (261891938839).

1003121012201 is a wasteful number, since it uses less digits than its factorization.

1003121012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36725.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1003121012201 its reverse (1022101213001), we get a palindrome (2025222225202).

The spelling of 1003121012201 in words is "one trillion, three billion, one hundred twenty-one million, twelve thousand, two hundred one".

Divisors: 1 7 11 77 89 623 979 4567 6853 31969 32051 50237 224357 351659 352561 406463 2467927 2845241 2852539 4471093 19967773 31297651 31377929 146376917 219645503 1024638419 1610146087 11271022609 13027545613 91192819291 143303001743 1003121012201