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101303322201 = 32171135859409
BaseRepresentation
bin101111001011000100…
…1100000011001011001
3100200111000001222012100
41132112021200121121
53124432122302301
6114312121434013
710214251013454
oct1362611403131
9320430058170
10101303322201
1139a650a2394
121777233b909
13972583b903
144c901a849b
15297d884286
hex1796260659

101303322201 has 24 divisors (see below), whose sum is σ = 156305621160. Its totient is φ = 63000354816.

The previous prime is 101303322157. The next prime is 101303322227. The reversal of 101303322201 is 102223303101.

101303322201 is a `hidden beast` number, since 1 + 0 + 130 + 332 + 2 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150700176 + 101152622025 = 12276^2 + 318045^2 .

It is a de Polignac number, because none of the positive numbers 2k-101303322201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101303322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2912416 + ... + 2946993.

It is an arithmetic number, because the mean of its divisors is an integer number (6512734215).

Almost surely, 2101303322201 is an apocalyptic number.

It is an amenable number.

101303322201 is a deficient number, since it is larger than the sum of its proper divisors (55002298959).

101303322201 is a wasteful number, since it uses less digits than its factorization.

101303322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859545 (or 5859542 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101303322201 its reverse (102223303101), we get a palindrome (203526625302).

The spelling of 101303322201 in words is "one hundred one billion, three hundred three million, three hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 17 51 113 153 339 1017 1921 5763 17289 5859409 17578227 52734681 99609953 298829859 662113217 896489577 1986339651 5959018953 11255924689 33767774067 101303322201