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130323323031 = 31171101550717
BaseRepresentation
bin111100101011111100…
…0000001100010010111
3110110101110022202102220
41321113320001202113
54113400232314111
6135511505033423
712262350653046
oct1712770014227
9413343282386
10130323323031
11502a7133550
1221311025873
13c39bb7a435
1464443d055d
1535cb42ce06
hex1e57e01897

130323323031 has 32 divisors (see below), whose sum is σ = 194134703616. Its totient is φ = 77100240000.

The previous prime is 130323323029. The next prime is 130323323069.

130323323031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130323323031 - 21 = 130323323029 is a prime.

It is a super-2 number, since 2×1303233230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130323322992 and 130323323010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130323323021) 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 31 ways as a sum of consecutive naturals, for example, 38716 + ... + 512001.

It is an arithmetic number, because the mean of its divisors is an integer number (6066709488).

Almost surely, 2130323323031 is an apocalyptic number.

130323323031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130323323031 is a deficient number, since it is larger than the sum of its proper divisors (63811380585).

130323323031 is a wasteful number, since it uses less digits than its factorization.

130323323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550903.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 130323 and 323031, that added together give a palindrome (453354).

The spelling of 130323323031 in words is "one hundred thirty billion, three hundred twenty-three million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 3 11 33 71 101 213 303 781 1111 2343 3333 7171 21513 78881 236643 550717 1652151 6057887 18173661 39100907 55622417 117302721 166867251 430109977 611846587 1290329931 1835539761 3949191607 11847574821 43441107677 130323323031