Search a number
-
+
1011301020201 = 34717374355799
BaseRepresentation
bin11101011011101100011…
…11001111001000101001
310120200100022021201210210
432231312033033020221
5113032121030121301
62052330230331333
7133030660560543
oct16556617171051
93520308251723
101011301020201
1135a98807470a
12143bb67b9b49
137449968a444
1436d392b4693
151b48d966ad6
hexeb763cf229

1011301020201 has 32 divisors (see below), whose sum is σ = 1386939801600. Its totient is φ = 655147083584.

The previous prime is 1011301020173. The next prime is 1011301020229. The reversal of 1011301020201 is 1020201031101.

It is an interprime number because it is at equal distance from previous prime (1011301020173) and next prime (1011301020229).

It is a cyclic number.

It is not a de Polignac number, because 1011301020201 - 213 = 1011301012009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011301020251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18096100 + ... + 18151898.

It is an arithmetic number, because the mean of its divisors is an integer number (43341868800).

Almost surely, 21011301020201 is an apocalyptic number.

It is an amenable number.

1011301020201 is a deficient number, since it is larger than the sum of its proper divisors (375638781399).

1011301020201 is a wasteful number, since it uses less digits than its factorization.

1011301020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56765.

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

Adding to 1011301020201 its reverse (1020201031101), we get a palindrome (2031502051302).

The spelling of 1011301020201 in words is "one trillion, eleven billion, three hundred one million, twenty thousand, two hundred one".

Divisors: 1 3 47 141 173 519 743 2229 8131 24393 34921 55799 104763 128539 167397 385617 2622553 6041333 7867659 9653227 18123999 28959681 41458657 124375971 453701669 1361105007 1948556879 5845670637 7172347661 21517042983 337100340067 1011301020201