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130203133011 = 3274153951089
BaseRepresentation
bin111100101000010110…
…1100010010001010011
3110110002002011110201200
41321100231202101103
54113124000224021
6135451533002243
712256361240610
oct1712055422123
9413062143650
10130203133011
1150245301a56
1221298923383
13c37ccb7b93
146432465507
1535c0adb126
hex1e50b62453

130203133011 has 48 divisors (see below), whose sum is σ = 224335500480. Its totient is φ = 71217469440.

The previous prime is 130203132979. The next prime is 130203133037. The reversal of 130203133011 is 110331302031.

It is a happy number.

130203133011 is a `hidden beast` number, since 1 + 30 + 20 + 313 + 301 + 1 = 666.

It is not a de Polignac number, because 130203133011 - 25 = 130203132979 is a prime.

It is a super-2 number, since 2×1302031330112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130203133111) 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 47 ways as a sum of consecutive naturals, for example, 338646 + ... + 612443.

It is an arithmetic number, because the mean of its divisors is an integer number (4673656260).

Almost surely, 2130203133011 is an apocalyptic number.

130203133011 is a deficient number, since it is larger than the sum of its proper divisors (94132367469).

130203133011 is a wasteful number, since it uses less digits than its factorization.

130203133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951196 (or 951193 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130203133011 its reverse (110331302031), we get a palindrome (240534435042).

The spelling of 130203133011 in words is "one hundred thirty billion, two hundred three million, one hundred thirty-three thousand, eleven".

Divisors: 1 3 7 9 21 41 53 63 123 159 287 369 371 477 861 1113 2173 2583 3339 6519 15211 19557 45633 136899 951089 2853267 6657623 8559801 19972869 38994649 50407717 59918607 116983947 151223151 272962543 350951841 352854019 453669453 818887629 1058562057 2066716397 2456662887 3175686171 6200149191 14467014779 18600447573 43401044337 130203133011