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130133031435 = 3451129210557
BaseRepresentation
bin111100100110010001…
…0000111101000001011
3110102220012020221110000
41321030202013220023
54113003024001220
6135440550254043
712254550342051
oct1711442075013
9412805227400
10130133031435
1150209781670
1221279357323
13c36b612064
1464270181d1
1535b9890390
hex1e4c887a0b

130133031435 has 40 divisors (see below), whose sum is σ = 254482381296. Its totient is φ = 63094800960.

The previous prime is 130133031433. The next prime is 130133031437. The reversal of 130133031435 is 534130331031.

130133031435 is a `hidden beast` number, since 13 + 0 + 1 + 330 + 314 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (130133031433) and next prime (130133031437).

It is not a de Polignac number, because 130133031435 - 21 = 130133031433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130133031399 and 130133031408.

It is not an unprimeable number, because it can be changed into a prime (130133031433) 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 39 ways as a sum of consecutive naturals, for example, 14600824 + ... + 14609733.

Almost surely, 2130133031435 is an apocalyptic number.

130133031435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130133031435 is a deficient number, since it is larger than the sum of its proper divisors (124349349861).

130133031435 is a wasteful number, since it uses less digits than its factorization.

130133031435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29210585 (or 29210576 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 130133031435 its reverse (534130331031), we get a palindrome (664263362466).

The spelling of 130133031435 in words is "one hundred thirty billion, one hundred thirty-three million, thirty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 4455 29210557 87631671 146052785 262895013 321316127 438158355 788685039 963948381 1314475065 1606580635 2366055117 2891845143 3943425195 4819741905 8675535429 11830275585 14459225715 26026606287 43377677145 130133031435