Search a number
-
+
103213024201 = 73598750261
BaseRepresentation
bin110000000011111111…
…0011100001111001001
3100212102002111212212001
41200013332130033021
53142340013233301
6115225421151001
710312500142000
oct1400776341711
9325362455761
10103213024201
113a855074801
12180059bb461
13996b38b4b1
144dd1a79c37
152a4135bc01
hex1807f9c3c9

103213024201 has 16 divisors (see below), whose sum is σ = 120387542400. Its totient is φ = 88451769840.

The previous prime is 103213024199. The next prime is 103213024241. The reversal of 103213024201 is 102420312301.

It is a happy number.

It is not a de Polignac number, because 103213024201 - 21 = 103213024199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103213024241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028411 + ... + 2078671.

It is an arithmetic number, because the mean of its divisors is an integer number (7524221400).

Almost surely, 2103213024201 is an apocalyptic number.

It is an amenable number.

103213024201 is a deficient number, since it is larger than the sum of its proper divisors (17174518199).

103213024201 is an frugal number, since it uses more digits than its factorization.

103213024201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56269 (or 56255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 103213024201 its reverse (102420312301), we get a palindrome (205633336502).

It can be divided in two parts, 1032130 and 24201, that added together give a triangular number (1056331 = T1453).

The spelling of 103213024201 in words is "one hundred three billion, two hundred thirteen million, twenty-four thousand, two hundred one".

Divisors: 1 7 49 343 5987 41909 50261 293363 351827 2053541 2462789 17239523 300912607 2106388249 14744717743 103213024201