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103203032301 = 32101113534689
BaseRepresentation
bin110000000011101100…
…0010100110011101101
3100212101101201020112200
41200013120110303231
53142324434013201
6115224423052113
710312316205045
oct1400730246355
9325341636480
10103203032301
113a84a46a736
12180025a1039
1399692a0525
144dd05d8725
152a40536386
hex1807614ced

103203032301 has 12 divisors (see below), whose sum is σ = 150546998940. Its totient is φ = 68120812800.

The previous prime is 103203032299. The next prime is 103203032311. The reversal of 103203032301 is 103230302301.

103203032301 is a `hidden beast` number, since 10 + 320 + 3 + 0 + 32 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75445806276 + 27757226025 = 274674^2 + 166605^2 .

It is not a de Polignac number, because 103203032301 - 21 = 103203032299 is a prime.

It is a super-2 number, since 2×1032030323012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103203032311) 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 11 ways as a sum of consecutive naturals, for example, 56766436 + ... + 56768253.

It is an arithmetic number, because the mean of its divisors is an integer number (12545583245).

Almost surely, 2103203032301 is an apocalyptic number.

It is an amenable number.

103203032301 is a deficient number, since it is larger than the sum of its proper divisors (47343966639).

103203032301 is a wasteful number, since it uses less digits than its factorization.

103203032301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113534796 (or 113534793 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103203032301 its reverse (103230302301), we get a palindrome (206433334602).

The spelling of 103203032301 in words is "one hundred three billion, two hundred three million, thirty-two thousand, three hundred one".

Divisors: 1 3 9 101 303 909 113534689 340604067 1021812201 11467003589 34401010767 103203032301