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130133003031 = 3313339361327
BaseRepresentation
bin111100100110010001…
…0000000101100010111
3110102220012012111111000
41321030202000230113
54113003022044111
6135440545514343
712254550163203
oct1711442005427
9412805174430
10130133003031
1150209762299
12212793429b3
13c36b602155
14642700bb03
1535b9886c56
hex1e4c880b17

130133003031 has 16 divisors (see below), whose sum is σ = 192804620800. Its totient is φ = 86748591384.

The previous prime is 130133003029. The next prime is 130133003041. The reversal of 130133003031 is 130300331031.

130133003031 is a `hidden beast` number, since 1 + 30 + 1 + 330 + 0 + 303 + 1 = 666.

It is not a de Polignac number, because 130133003031 - 21 = 130133003029 is a prime.

It is a super-2 number, since 2×1301330030312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130133002995 and 130133003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133003041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179490 + ... + 540816.

It is an arithmetic number, because the mean of its divisors is an integer number (12050288800).

Almost surely, 2130133003031 is an apocalyptic number.

130133003031 is a deficient number, since it is larger than the sum of its proper divisors (62671617769).

130133003031 is a wasteful number, since it uses less digits than its factorization.

130133003031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374675 (or 374669 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 130133003031 its reverse (130300331031), we get a palindrome (260433334062).

The spelling of 130133003031 in words is "one hundred thirty billion, one hundred thirty-three million, three thousand, thirty-one".

Divisors: 1 3 9 27 13339 40017 120051 360153 361327 1083981 3251943 9755829 4819740853 14459222559 43377667677 130133003031