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130333333031 = 111071975411039
BaseRepresentation
bin111100101100001111…
…0001101011000100111
3110110102011011022120122
41321120132031120213
54113410313124111
6135512503352155
712262532023526
oct1713036153047
9413364138518
10130333333031
1150301850180
122131445265b
13c3a0c73705
1464458784bd
1535cc258cdb
hex1e5878d627

130333333031 has 32 divisors (see below), whose sum is σ = 144644797440. Its totient is φ = 116453635200.

The previous prime is 130333333007. The next prime is 130333333051.

130333333031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 130333333031 - 218 = 130333070887 is a prime.

It is a super-2 number, since 2×1303333330312 (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 (130333333051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125440610 + ... + 125441648.

It is an arithmetic number, because the mean of its divisors is an integer number (4520149920).

Almost surely, 2130333333031 is an apocalyptic number.

130333333031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130333333031 is a deficient number, since it is larger than the sum of its proper divisors (14311464409).

130333333031 is a wasteful number, since it uses less digits than its factorization.

130333333031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895.

The product of its (nonzero) digits is 6561, while the sum is 26.

It can be divided in two parts, 130333 and 333031, that added together give a palindrome (463364).

The spelling of 130333333031 in words is "one hundred thirty billion, three hundred thirty-three million, three hundred thirty-three thousand, thirty-one".

Divisors: 1 11 107 197 541 1039 1177 2167 5951 11429 21079 57887 106577 111173 204683 231869 562099 636757 1172347 1222903 2251513 6183089 11403739 21901081 60144593 110733503 125441129 240911891 661590523 1218068533 11848484821 130333333031