Search a number
-
+
10033331201 = 172269129061
BaseRepresentation
bin10010101100000100…
…00111110000000001
3221220020111000221022
421112002013300001
5131022013044301
64335333035225
7503430623315
oct112602076001
927806430838
1010033331201
114289610263
121b40185b15
13c3b88a78a
146b275bb45
153dac93d1b
hex256087c01

10033331201 has 12 divisors (see below), whose sum is σ = 10697949180. Its totient is φ = 9407957760.

The previous prime is 10033331183. The next prime is 10033331207. The reversal of 10033331201 is 10213333001.

It can be written as a sum of positive squares in 6 ways, for example, as 387144976 + 9646186225 = 19676^2 + 98215^2 .

It is a de Polignac number, because none of the positive numbers 2k-10033331201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10033331201.

It is not an unprimeable number, because it can be changed into a prime (10033331207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13211 + ... + 142271.

It is an arithmetic number, because the mean of its divisors is an integer number (891495765).

Almost surely, 210033331201 is an apocalyptic number.

It is an amenable number.

10033331201 is a deficient number, since it is larger than the sum of its proper divisors (664617979).

10033331201 is a wasteful number, since it uses less digits than its factorization.

10033331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129364 (or 129347 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10033331201 its reverse (10213333001), we get a palindrome (20246664202).

The spelling of 10033331201 in words is "ten billion, thirty-three million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 17 269 289 4573 77741 129061 2194037 34717409 37298629 590195953 10033331201